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Dissertations / Theses on the topic 'Measure theory'
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1
Deniz, Aslı Ufuktepe Ünal. "Measure Theory On Times Scales/." [s.l.]: [s.n.], 2007. http://library.iyte.edu.tr/tezler/master/matematik/T000568.pdf.
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Kaonga, Llolsten L. C. "Maharam's theory of abstract measure functions." Thesis, McGill University, 1994. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=55504.
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This work is an account of Maharam's paper The representation of abstract measure functions (Ma3) in which it is shown that abstract measures can be written as combinations of ordinary numerical ones.
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Ghazi-Tabatabai, Yousef. "Quantum Measure Theory : A New Interpretation." Thesis, Imperial College London, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.502912.
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Abusidualghoul, Victoria Jemma. "Complexity theory & the measure of organisations." Thesis, University of Leicester, 2014. http://hdl.handle.net/2381/28920.
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This dissertation explores the literature relating to organisational complexity, organisational measurement, educational institution measurement and qualitative research methods with a specific focus on participant-centredness. This is with a view to seeing whether complexity can provide a suitable underpinning for the exploration of educational institution assessment; whether effictility is a more useful and measurable construct than efficiency for school assessment; and whether the participant-guided tour is a viable first round research tool for recognising effictility. Early on, apparently immeasureable efficiency is replaced with measureable effictility: the efficient and effective utility of human and non-human resources within the constraints of a spatial and temporal context. The study is cross-disciplinary because it draws from such fields as management, human geography, sociology, educational management theory, education policy and philosophy, and the theoretical and real threads of complexity, space and time wend their way through the discourse. The first four literature-based chapters build together to provide the foundation for the practicalities explored in two case studies. These are set up to consist of a four-phase process at two technically similar and yet operationally very different schools. Greatly contrasting measures of success are achieved which in turn richly inform the discussion on the realities of institutional measurement. The research process also throws up some interesting themes through experimentation with innovative interview stimuli. Thus, the study’s contribution to knowledge is four-fold. It juxtaposes a theory and context that have rarely been put together – namely, complexity and education. It provides evidence to support the controversial notion that organisational efficiency cannot be measured. It introduces the concept of effictility and the methodological innovation: the participant-guided tour.
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Sokolova-Maria, Maria. "Risk measure changes and portfolio optimization theory." Thesis, Imperial College London, 2009. http://hdl.handle.net/10044/1/11376.
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Willett, Roger. "Accounting measurement theory." Thesis, University of Aberdeen, 1985. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=165709.
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Yin, Qinghe. "Fractals and sumsets." Title page, contents and abstract only, 1993. http://web4.library.adelaide.edu.au/theses/09PH/09phy51.pdf.
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Alhwaitiy, Hebah Sulaiman. "POTENTIAL THEORY AND HARMONIC FUNCTIONS." Kent State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1448671803.
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Koucherik, Elena. "Transference and Szego's theorem for measure preserving transformations." Diss., Columbia, Mo. : University of Missouri-Columbia, 2007. http://hdl.handle.net/10355/6018.
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Thesis (Ph. D.)--University of Missouri-Columbia, 2007.The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on March 11, 2008) Includes bibliographical references.
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Villa, E. "Methods of geometric measure theory in stochastic geometry." Doctoral thesis, Università degli Studi di Milano, 2007. http://hdl.handle.net/2434/28369.
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All the results of the present thesis have been obtained facing problems related to the study of the so called birth-and-growth stochastic processes, relevant in several real applications, like crystallization processes, tumour growth, angiogenesis, etc. We have introduced a Delta formalism, à la Dirac-Schwartz, for the description of random measures associated with random closed sets in R^d of lower dimensions, such that the usual Dirac delta at a point follows as particular case, in order to provide a natural framework for deriving evolution equations for mean densities at integer Hausdorff dimensions in terms of the relevant kinetic parameters associated to a given birth-and-growth process. In this context connections with the concepts of hazard functions and spherical contact distribution functions, together with local Steiner formulas at first order have been studied and, under suitable general conditions on the resulting random growing set, we may write evolution equations of the mean volume density in terms of the growing rate and of the mean surface density. To this end we have introduced definitions of discrete, continuous and absolutely continuous random closed set, which extend the standard well known definitions for random variables. Further, since in many real applications such as fibre processes, n-facets of random tessellations several problems are related to the estimation of such mean densities, in order to face such problems in the general setting of spatially inhomogeneous processes, we have analyzed an approximation of mean densities for sufficiently regular random closed sets, such that some known results in literature follow as particular cases.
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Etheridge, Alison Mary. "Asymptotic behaviour of some measure-valued diffusions." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329943.
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Kutoviy, Oleksandr. "Analytical methods in constructive measure theory on configuration spaces." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=970391625.
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Nandakumar, Satyadev. "Dynamics, measure and dimension in the theory of computing." [Ames, Iowa : Iowa State University], 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3389130.
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Bottazzi, Emanuele. "Nonstandard Models in Measure Theory and in functional Analysis." Doctoral thesis, Università degli studi di Trento, 2017. https://hdl.handle.net/11572/368322.
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This thesis is concerned with the study of nonstandard models in measure theory and in functional analysis.
In measure theory, we define elementary numerosities, that are additive measures that take on values in a non-archimedean field and for which the measure of every singleton is 1. We have shown that, by taking the ratio with a suitable unit of measurement, from a numerosity it can be defined a non-atomic real-valued measure, and that every non-atomic measure can be obtained from a numerosity by this procedure. We then used numerosities to develop
a model for the probability of infinite sequences of coin tosses coherent with the original ideas of Laplace.
In functional analysis, we introduce a space of functions of nonstandard analysis with a formally finite domain, that extends both the space of distributions and the space of Young measures. Among the applications of this
space of functions, we develop a continuous-in-time, discrete-in-space nonstandard formulation for a class of ill-posed forward-backward parabolic equations, and on the study of the regularity and asymptotic behaviour of its nonstandard solutions. This approach proved to be a viable alternative to the study of the vanishing viscosity limit of the solution of a pseudoparabolic regularization of the original problem.
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Bottazzi, Emanuele. "Nonstandard Models in Measure Theory and in functional Analysis." Doctoral thesis, University of Trento, 2017. http://eprints-phd.biblio.unitn.it/2056/1/Tesi.pdf.
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This thesis is concerned with the study of nonstandard models in measure theory and in functional analysis.
In measure theory, we define elementary numerosities, that are additive measures that take on values in a non-archimedean field and for which the measure of every singleton is 1. We have shown that, by taking the ratio with a suitable unit of measurement, from a numerosity it can be defined a non-atomic real-valued measure, and that every non-atomic measure can be obtained from a numerosity by this procedure. We then used numerosities to develop
a model for the probability of infinite sequences of coin tosses coherent with the original ideas of Laplace.
In functional analysis, we introduce a space of functions of nonstandard analysis with a formally finite domain, that extends both the space of distributions and the space of Young measures. Among the applications of this
space of functions, we develop a continuous-in-time, discrete-in-space nonstandard formulation for a class of ill-posed forward-backward parabolic equations, and on the study of the regularity and asymptotic behaviour of its nonstandard solutions. This approach proved to be a viable alternative to the study of the vanishing viscosity limit of the solution of a pseudoparabolic regularization of the original problem.
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De, la Mora Carlos. "Explicit plancherel measure for PGL_2(F)." Diss., University of Iowa, 2012. https://ir.uiowa.edu/etd/3282.
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In this thesis we compute an explicit Plancherel fromula for PGL_2(F) where F is a non-archimedean local field. Let G be connected reductive group over a non-archimedean local field F. We show that we can obtain types and covers as defined by Kutzko and Bushnell for G/Z coming from types and covers of G in a very explicit way. We then compute those types and covers for GL_2(F ) which give rise to all types and covers for PGL_2(F) that are in the principal series. The Hecke algebra is a Hilbert algebra and has a measure associated to it called Plancherel measure of the Hecke algebra. We have that computing the Plancherel measure for PGL_2(F) essentially reduces to computing the Plancherel measure for the Hecke algebra for every type. We get that the Hacke algebras come in two flavors; they are either the group ring of the integers or they are a free algebra in two generators s_1, s_2 subject to the relations s_1^2=1 and s_2^2=(q^{-1/2}-q^{-1/2})s_2+1, where q is the order of the residue field. The Plancherel measure for both algebras are known, as a result we obtain the Plancherel measure for PGL_2(F).
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Cohen, Michael Patrick. "Descriptive Set Theory and Measure Theory in Locally Compact and Non-locally Compact Groups." Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc271792/.
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In this thesis we study descriptive-set-theoretic and measure-theoretic properties of Polish groups, with a thematic emphasis on the contrast between groups which are locally compact and those which are not. The work is divided into three major sections. In the first, working jointly with Robert Kallman, we resolve a conjecture of Gleason regarding the Polish topologization of abstract groups of homeomorphisms. We show that Gleason's conjecture is false, and its conclusion is only true when the hypotheses are considerably strengthened. Along the way we discover a new automatic continuity result for a class of functions which behave like but are distinct from functions of Baire class 1. In the second section we consider the descriptive complexity of those subsets of the permutation group S? which arise naturally from the classical Levy-Steinitz series rearrangement theorem. We show that for any conditionally convergent series of vectors in Euclidean space, the sets of permutations which make the series diverge, and diverge properly, are ?03-complete. In the last section we study the phenomenon of Haar null sets a la Christensen, and the closely related notion of openly Haar null sets. We identify and correct a minor error in the proof of Mycielski that a countable union of Haar null sets in a Polish group is Haar null. We show the openly Haar null ideal may be distinct from the Haar null ideal, which resolves an uncertainty of Solecki. We show that compact sets are always Haar null in S? and in any countable product of locally compact non-compact groups, which extends the domain of a result of Dougherty. We show that any countable product of locally compact non-compact groups decomposes into the disjoint union of a meager set and a Haar null set, which gives a partial positive answer to a question of Darji. We display a translation property in the homeomorphism group Homeo+[0,1] which is impossible in any non-trivial locally compact group. Other related results are peppered throughout.
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Edwards, Autumn P. "A theory and measure of interpersonally-oriented communication-based metaphysics /." View abstract, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3209651.
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Sjödin, Tomas. "Topics in Potential Theory: Quadrature Domains, Balayage and Harmonic Measure." Doctoral thesis, KTH, Mathematics (Dept.), 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-213.
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In this thesis, which consists of five papers (A,B,C,D,E), we are interested in questions related to quadrature domains. Among the problems studied are the possibility of changing the type of measure in a quadrature identity (from complex to real and from real signed to positive), properties of partial balayage, which in a sense can be used to generate quadrature domains, and mother bodies which are closely related to inversion of partial balayage.
These three questions are discussed in papers A,D respectively B.
The first of these questions (when trying to go from real signed to positive measures) leads to the study of approximation in the cone of positive harmonic functions. These questions are closely related to properties of the harmonic measure on the Martin boundary, and this relationship leads to the study of harmonic measures on ideal boundaries in paper E. Some other approaches to the same problem also lead to some extent to the study of properties of classical balayage in paper C.
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Sjödin, Tomas. "Topics in potential theory : quadrature domains, balayage and harmonic measure /." Stockholm, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-213.
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Törnblom, Arvid. "Measure theory, fractal geometry and their applications on digital sundials." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-435354.
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Shmerkin, Pablo. "The structure of overlapping self-affine sets /." Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/5791.
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Backs, Karl. "Uniformly σ-Finite Disintegrations of Measures." Thesis, University of North Texas, 2011. https://digital.library.unt.edu/ark:/67531/metadc84165/.
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A disintegration of measure is a common tool used in ergodic theory, probability, and descriptive set theory. The primary interest in this paper is in disintegrating σ-finite measures on standard Borel spaces into families of σ-finite measures. In 1984, Dorothy Maharam asked whether every such disintegration is uniformly σ-finite meaning that there exists a countable collection of Borel sets which simultaneously witnesses that every measure in the disintegration is σ-finite. Assuming Gödel’s axiom of constructability I provide answer Maharam's question by constructing a specific disintegration which is not uniformly σ-finite.
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Pearsall, Sam Alfred. "The Cantor set." CSUSB ScholarWorks, 1999. https://scholarworks.lib.csusb.edu/etd-project/1528.
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McMahon, Eileen Marie. "Professionalism in teaching an individual level measure for a structural theory /." Columbus, Ohio : Ohio State University, 2007. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1194645789.
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Wu, Margaret Li-Min. "The Application of item response theory to measure problem solving proficiencies /." Connect to thesis, 2003. http://eprints.unimelb.edu.au/archive/00000900.
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Schultz, Monica L. "Occupational well-being : the development of a theory and a measure." Diss., Manhattan, Kan. : Kansas State University, 2008. http://hdl.handle.net/2097/746.
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Kida, Yoshikata. "The mapping class group from the viewpoint of measure equivalence theory." 京都大学 (Kyoto University), 2006. http://hdl.handle.net/2433/144152.
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Kyoto University (京都大学)0048
新制・課程博士
博士(理学)
甲第12175号
理博第3069号
新制||理||1457(附属図書館)
24011
UT51-2006-J168
京都大学大学院理学研究科数学・数理解析専攻
(主査)助教授 泉 正己, 教授 河野 明, 助教授 加藤 毅
学位規則第4条第1項該当
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Poggi, Ambra. "Social Exclusion in Spain: Measurement Theory and Application." Doctoral thesis, Universitat Autònoma de Barcelona, 2004. http://hdl.handle.net/10803/4002.
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A pesar de la importancia de la exclusión social, no existe consenso sobre como se debe definir este fenómeno, ni de cómo debe medirse. El objetivo de esta tesis es afrontar estos problemas, definiendo una medida adecuada de exclusión social, para analizar posteriormente su dinámica. He desarrollado un enfoque de medición, de acuerdo con la definición operativa de exclusión social (considerando también estudios anteriores), para establecer si la exclusión social es un fenómeno parcialmente transitorio, así como para analizar las eventuales trayectorias de dependencia que la exclusión puede generar. Mi análisis es un nuevo enfoque para estudiar la exclusión social, y ofrece nueva evidencia empírica sobre la dinámica de la exclusión social en España desde el 1994 hasta el 2000 (usando los datos del panel europeo).He definido exclusión social como el proceso multi-dimensional que lleva a un estado individual de exclusión respecto al resto de la sociedad donde el individuo vive. La exclusión social en un instante del tiempo se define como la imposibilidad de conseguir algunos importantes "functionings". La elección de una medida adecuada de exclusión social no es nada fácil. Propongo usar un caso especial de la generalization multidimensional del índice de Foster-Green-Thorbecke. La motivación principal es que este índice tiene buenas propiedades axiomáticas (Bourguignon and Chakravarty, 2003) y es capaz de operazionalizar el enfoque de la capacidad de Sen. Remarcar que este índice es también adecuado para capturar la multidimensionalidad de la exclusión social y da una idea sobre la intensidad de la exclusión.
He estudiado en profundidad la movilidad de la exclusión social siguiendo un enfoque relativo y utilizando las matrices de transición (análisis "two-stages"). Los principales motivos para usar las matrices de transición son los siguientes: primero, el análisis "two-stages" nos da una imagen sencilla de los movimientos de los individuos entre las clases especificas de exclusión social y, segundo, este análisis es robusto frente a la contaminación de los datos. Este tipo de análisis muestra que la exclusión social fue parcialmente un fenómeno transitorio.
Me he centrado también en las causas del proceso de exclusión social, y encontré que un individuo que experimenta exclusión hoy, tiene mayor probabilidad de experimentar exclusión mañana, debido a la heterogeneidad observable y no-observable entre individuos, así como a la existencia de un verdadero estado de dependencia. El análisis ha consistido en estimar un modelo no-lineal de datos de panel. He utilizado un enfoque "random effects", y he elegido la solución propuesta en Wooldridge (2002) para solucionar el problema de las condiciones iniciales. Este enfoque muestra la importancia de la existencia de un verdadero estado de dependencia, así como de heterogeneidad entre individuos tanto observable como no-observable.
Despite its importance, there is remarkably little consensus among scientists on the definition of "social exclusion" and, therefore, on the best way to measure it. My aim in this thesis has been to address key problems regarding how to identify an adequate measure of social exclusion and how to analyse social exclusion dynamics. I then proceeded to develop an approach to measurement which was in accord with the working definition of social exclusion (considering also the previous literature), and I used it to establish if social exclusion was partially transitory, and to study eventual dependence paths that exclusion might generate. Note that my analysis proposes new approaches to study social exclusion and offers fresh empirical evidence on social exclusion dynamics in Spain from 1994 to 2000 (using ECHP data).
I define social exclusion as a multidimensional dynamic process leading to a state of individual exclusion relative to the rest of the society where the individual lives in. Social exclusion at a point in time is defined as the impossibility to achieve some relevant functionings. The choice of an index able to adequately measure exclusion is not easy. I have proposed to use a special case of the multidimensional generalization of the Foster-Green-Thorbecke index. The main reason has been that this index fulfils a set of axiomatic properties (Bourguignon and Chakravarty, 2003) and it is able to operazionalize Sen's capability approach. Note that this index is also adequate to capture the multidimensionality of social exclusion and gives us information about the intensity of exclusion.
I have performed a detailed analysis of social exclusion mobility following the relative approach and using transition matrices (two-stage analysis). The main advantages of using transition matrices are the following: first, two-stage analysis provides a simple picture of the "movement" of the individuals among the specific social exclusion classes and, second, it is shown to be robust to data contamination. This kind of analysis have shown that social exclusion was partially a transitory phenomenon.
I have also focused on the causes leading to social exclusion process. I did find that an individual experiencing exclusion today was more likely to experience exclusion tomorrow due to both observed and unobserved individual heterogeneity and true state of dependence. The analysis has been done estimating a dynamic non-linear panel data model. I have used the random effects approach, and I have applied the solution proposed by Wooldridge (2002) to solve the initial condition problems. This approach have shown evidence of the importance of both true state dependence and observed/unobserved heterogeneity.
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Seifert, Christian. "Measure-perturbed one-dimensional Schrödinger operators." Doctoral thesis, Universitätsbibliothek Chemnitz, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-102766.
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In this Dissertation thesis the spectral theory of Schrödinger operators modeling quasicrystals in dimension one ist investigated. We allow for a large class of measures as potentials covering also point interactions.
The main results can be stated as follows: If the potential can be very well approximated by periodic potentials, then the correspondig Schrödinger operator does not have any eigenvalues. If the potential is aperiodic and satisfies a certain finite local complexity condition, the absolutely continuous spectrum is absent. We also prove Cantor spectra of zero Lebesgue measure for a large class of (a randomized version of) the operator.
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Zhou, Yufeng, and Yan Wang. "To Measure Wind Speed using the theory of One-dimensional Ultrasonic Anemometer." Thesis, Högskolan i Gävle, Avdelningen för elektronik, matematik och naturvetenskap, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hig:diva-9602.
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Ultrasonic anemometer (UA) is a core application in natural environment measurement. As well known, mechanical anemometer works well in good weather but it is not suitable to be applied in bad environment such as polar region and upper air. On the other hand, ultrasonic anemometer works well in most situations. Moreover, ultrasonic anemometer has wider detectable wind speed range. It can be said that ultrasonic anemometer is a more advanced instrument to measure wind velocity. In this paper, the theory of ultrasonic anemometer is first discussed. Using the theory, a test bed is then designed and constructed to measure one-dimensional wind speed. Active Butterworth filter is introduced into the circuit in order to increase the stability and accuracy. Furthermore, we test the one-dimensional ultrasonic anemometer and compare the measured wind speed with theoretical wind speed measured by a thermal anemometer device. Error is also discussed and improvement has also made during the experiment.
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Vandiver, Beverly J. "A schematic reconceptualization of Gottfredson's theory : the development of a compromise measure." Virtual Press, 1993. http://liblink.bsu.edu/uhtbin/catkey/862286.
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Gottfredson's theory of circumscription and compromise provides a framework for the application of a cognitive perspective in redefining the integration of career development and choice. A schematic reconceptualization of Gottfredson's theory was proposed to reconcile the conflicting findings of the circumscription and compromise process. The current methods in measuring circumscription and compromise, however, were not adequate to measure them schematically. So the purpose of the present study was to develop a schema-based vocational scale to measure Gottfredson's compromise process.Two goals guided the development of the Vocational Schema Compromise Scale (VSCS), the establishment of an acceptable level of reliability and the establishment of construct validity. Goal 2, the establishment of construct validity, included the following four hypotheses: Hypothesis 1 - four factors similar to Gottfredson's dimensions, masculine and feminine sex type, prestige, and interest, would emerge from factor analyses; Hypothesis 2 - the VSCS would have convergent validity with another career measure, the Vocational Preference Inventory (VPI); Hypothesis 3 - the VSCS would have discriminant validity with a generalized locus of control measure; and hypothesis 4 - the VSCS was not a measure of socially desirable responding.Eight hundred and eighty-two undergraduate male and female students participated in the study. The findings of the study indicated that the goals of the study were partially accomplished and two of the four hypotheses were supported. For goal 1, reliability was establishedat an acceptable level on 11 of the 12 VSCS subscales. For goal 2, construct validity was partially accomplished. Hypothesis 1 was partially supported; internal construct validity was established for two of the three VSCS scales with four factors emerging on each scale. Hypothesis 2 was not supported; there was only a small relationship between the VSCS and the VPI, indicating that the VSCS may not really be measuring the dimensions of sex type, prestige, and interest or may be measuring them differently than the VPI. Hypothesis 3 was supported; the VSCS did not measure a generalized locus of control. Hypothesis 4 was also supported; the VSCS did not substantially measure social desirability. Limitations and implications for future research of the VSCS are discussed.Department of Counseling Psychology and Guidance Services
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Farkas, Ábel. "Dimension and measure theory of self-similar structures with no separation condition." Thesis, University of St Andrews, 2015. http://hdl.handle.net/10023/7854.
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We introduce methods to cope with self-similar sets when we do not assume any separation condition. For a self-similar set K ⊆ ℝᵈ we establish a similarity dimension-like formula for Hausdorff dimension regardless of any separation condition. By the application of this result we deduce that the Hausdorff measure and Hausdorff content of K are equal, which implies that K is Ahlfors regular if and only if Hᵗ (K) > 0 where t = dim[sub]H K. We further show that if t = dim[sub]H K < 1 then Hᵗ (K) > 0 is also equivalent to the weak separation property. Regarding Hausdorff dimension, we give a dimension approximation method that provides a tool to generalise results on non-overlapping self-similar sets to overlapping self-similar sets. We investigate how the Hausdorff dimension and measure of a self-similar set K ⊆ ℝᵈ behave under linear mappings. This depends on the nature of the group T generated by the orthogonal parts of the defining maps of K. We show that if T is finite then every linear image of K is a graph directed attractor and there exists at least one projection of K such that the dimension drops under projection. In general, with no restrictions on T we establish that Hᵗ (L ∘ O(K)) = Hᵗ (L(K)) for every element O of the closure of T , where L is a linear map and t = dim[sub]H K. We also prove that for disjoint subsets A and B of K we have that Hᵗ (L(A) ∩ L(B)) = 0. Hochman and Shmerkin showed that if T is dense in SO(d; ℝ) and the strong separation condition is satisfied then dim[sub]H (g(K)) = min {dim[sub]H K; l} for every continuously differentiable map g of rank l. We deduce the same result without any separation condition and we generalize a result of Eroğlu by obtaining that Hᵗ (g(K)) = 0. We show that for the attractor (K1, … ,Kq) of a graph directed iterated function system, for each 1 ≤ j ≤ q and ε > 0 there exists a self-similar set K ⊆ Kj that satisfies the strong separation condition and dim[sub]H Kj - ε < dim[sub]H K. We show that we can further assume convenient conditions on the orthogonal parts and similarity ratios of the defining similarities of K. Using this property we obtain results on a range of topics including on dimensions of projections, intersections, distance sets and sums and products of sets. We study the situations where the Hausdorff measure and Hausdorff content of a set are equal in the critical dimension. Our main result here shows that this equality holds for any subset of a set corresponding to a nontrivial cylinder of an irreducible subshift of finite type, and thus also for any self-similar or graph directed self-similar set, regardless of separation conditions. The main tool in the proof is an exhaustion lemma for Hausdorff measure based on the Vitali's Covering Theorem. We also give several examples showing that one cannot hope for the equality to hold in general if one moves in a number of the natural directions away from `self-similar'. Finally we consider an analogous version of the problem for packing measure. In this case we need the strong separation condition and can only prove that the packing measure and δ-approximate packing pre-measure coincide for sufficiently small δ > 0.
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Springer, Olaf B. "Order-two density and self-conformal sets." Thesis, University of Bristol, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.385993.
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Donzella, Michael A. "The Geometry of Rectifiable and Unrectifiable Sets." Kent State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=kent1404332888.
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Bass, Jeremiah Joseph. "Mycielski-Regular Measures." Thesis, University of North Texas, 2011. https://digital.library.unt.edu/ark:/67531/metadc84171/.
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Let μ be a Radon probability measure on M, the d-dimensional Real Euclidean space (where d is a positive integer), and f a measurable function. Let P be the space of sequences whose coordinates are elements in M. Then, for any point x in M, define a function ƒn on M and P that looks at the first n terms of an element of P and evaluates f at the first of those n terms that minimizes the distance to x in M. The measures for which such sequences converge in measure to f for almost every sequence are called Mycielski-regular. We show that the self-similar measure generated by a finite family of contracting similitudes and which up to a constant is the Hausdorff measure in its dimension on an invariant set C is Mycielski-regular.
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King, James F. "Dimension characteristics for invariant measures." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/28788.
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Massaccesi, Annalisa. "Currents with coefficients in groups, applications and other problems in Geometric Measure Theory." Doctoral thesis, Scuola Normale Superiore, 2014. http://hdl.handle.net/11384/85703.
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Harispe, Sébastien. "Knowledge-based Semantic Measures : From Theory to Applications." Thesis, Montpellier 2, 2014. http://www.theses.fr/2014MON20038/document.
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Les notions de proximité, de distance et de similarité sémantiques sont depuis longtemps jugées essentielles dans l'élaboration de nombreux processus cognitifs et revêtent donc un intérêt majeur pour les communautés intéressées au développement d'intelligences artificielles. Cette thèse s'intéresse aux différentes mesures sémantiques permettant de comparer des unités lexicales, des concepts ou des instances par l'analyse de corpus de textes ou de représentations de connaissance (e.g. ontologies). Encouragées par l'essor des technologies liées à l'Ingénierie des Connaissances et au Web sémantique, ces mesures suscitent de plus en plus d'intérêt à la fois dans le monde académique et industriel. Ce manuscrit débute par un vaste état de l'art qui met en regard des travaux publiés dans différentes communautés et souligne l'aspect interdisciplinaire et la diversité des recherches actuelles dans ce domaine. Cela nous a permis, sous l'apparente hétérogénéité des mesures existantes, de distinguer certaines propriétés communes et de présenter une classification générale des approches proposées. Par la suite, ces travaux se concentrent sur les mesures qui s'appuient sur une structuration de la connaissance sous forme de graphes sémantiques, e.g. graphes RDF(S). Nous montrons que ces mesures reposent sur un ensemble réduit de primitives abstraites, et que la plupart d'entre elles, bien que définies indépendamment dans la littérature, ne sont que des expressions particulières de mesures paramétriques génériques. Ce résultat nous a conduits à définir un cadre théorique unificateur pour les mesures sémantiques. Il permet notamment : (i) d'exprimer de nouvelles mesures, (ii) d'étudier les propriétés théoriques des mesures et (iii) d'orienter l'utilisateur dans le choix d'une mesure adaptée à sa problématique. Les premiers cas concrets d'utilisation de ce cadre démontrent son intérêt en soulignant notamment qu'il permet l'analyse théorique et empirique des mesures avec un degré de détail particulièrement fin, jamais atteint jusque-là. Plus généralement, ce cadre théorique permet de poser un regard neuf sur ce domaine et ouvre de nombreuses perspectives prometteuses pour l'analyse des mesures sémantiques. Le domaine des mesures sémantiques souffre d'un réel manque d'outils logiciels génériques et performants ce qui complique à la fois l'étude et l'utilisation de ces mesures. En réponse à ce manque, nous avons développé la Semantic Measures Library (SML), une librairie logicielle dédiée au calcul et à l'analyse des mesures sémantiques. Elle permet d'utiliser des centaines de mesures issues à la fois de la littérature et des fonctions paramétriques étudiées dans le cadre unificateur introduit. Celles-ci peuvent être analysées et comparées à l'aide des différentes fonctionnalités proposées par la librairie. La SML s'accompagne d'une large documentation, d'outils logiciels permettant son utilisation par des non informaticiens, d'une liste de diffusion, et de façon plus large, se propose de fédérer les différentes communautés du domaine afin de créer une synergie interdisciplinaire autour la notion de mesures sémantiques : http://www.semantic-measures-library.org Cette étude a également conduit à différentes contributions algorithmiques et théoriques, dont (i) la définition d'une méthode innovante pour la comparaison d'instances définies dans un graphe sémantique – nous montrons son intérêt pour la mise en place de système de recommandation à base de contenu, (ii) une nouvelle approche pour comparer des concepts représentés dans des taxonomies chevauchantes, (iii) des optimisations algorithmiques pour le calcul de certaines mesures sémantiques, et (iv) une technique d'apprentissage semi-supervisée permettant de cibler les mesures sémantiques adaptées à un contexte applicatif particulier en prenant en compte l'incertitude associée au jeu de test utilisé. Travaux validés par plusieurs publications et communications nationales et internationalesThe notions of semantic proximity, distance, and similarity have long been considered essential for the elaboration of numerous cognitive processes, and are therefore of major importance for the communities involved in the development of artificial intelligence. This thesis studies the diversity of semantic measures which can be used to compare lexical entities, concepts and instances by analysing corpora of texts and knowledge representations (e.g., ontologies). Strengthened by the development of Knowledge Engineering and Semantic Web technologies, these measures are arousing increasing interest in both academic and industrial fields.This manuscript begins with an extensive state-of-the-art which presents numerous contributions proposed by several communities, and underlines the diversity and interdisciplinary nature of this domain. Thanks to this work, despite the apparent heterogeneity of semantic measures, we were able to distinguish common properties and therefore propose a general classification of existing approaches. Our work goes on to look more specifically at measures which take advantage of knowledge representations expressed by means of semantic graphs, e.g. RDF(S) graphs. We show that these measures rely on a reduced set of abstract primitives and that, even if they have generally been defined independently in the literature, most of them are only specific expressions of generic parametrised measures. This result leads us to the definition of a unifying theoretical framework for semantic measures, which can be used to: (i) design new measures, (ii) study theoretical properties of measures, (iii) guide end-users in the selection of measures adapted to their usage context. The relevance of this framework is demonstrated in its first practical applications which show, for instance, how it can be used to perform theoretical and empirical analyses of measures with a previously unattained level of detail. Interestingly, this framework provides a new insight into semantic measures and opens interesting perspectives for their analysis.Having uncovered a flagrant lack of generic and efficient software solutions dedicated to (knowledge-based) semantic measures, a lack which clearly hampers both the use and analysis of semantic measures, we consequently developed the Semantic Measures Library (SML): a generic software library dedicated to the computation and analysis of semantic measures. The SML can be used to take advantage of hundreds of measures defined in the literature or those derived from the parametrised functions introduced by the proposed unifying framework. These measures can be analysed and compared using the functionalities provided by the library. The SML is accompanied by extensive documentation, community support and software solutions which enable non-developers to take full advantage of the library. In broader terms, this project proposes to federate the several communities involved in this domain in order to create an interdisciplinary synergy around the notion of semantic measures: http://www.semantic-measures-library.org This thesis also presents several algorithmic and theoretical contributions related to semantic measures: (i) an innovative method for the comparison of instances defined in a semantic graph – we underline in particular its benefits in the definition of content-based recommendation systems, (ii) a new approach to compare concepts defined in overlapping taxonomies, (iii) algorithmic optimisation for the computation of a specific type of semantic measure, and (iv) a semi-supervised learning-technique which can be used to identify semantic measures adapted to a specific usage context, while simultaneously taking into account the uncertainty associated to the benchmark in use. These contributions have been validated by several international and national publications
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York, Richard H. "A new methodology to measure body/self-concept based on personal construct theory." Thesis, Boston University, 1987. https://hdl.handle.net/2144/38120.
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Thesis (Ph.D.)--Boston UniversityPLEASE NOTE: Boston University Libraries did not receive an Authorization To Manage form for this thesis or dissertation. It is therefore not openly accessible, though it may be available by request. If you are the author or principal advisor of this work and would like to request open access for it, please contact us at open-help@bu.edu. Thank you.
The objective of this dissertation is to describe and test the reliability and validity of the Body/Self-Concept Methodology (BSC). It measures body attitudes as consequences of body/self-concept. The BSC Methodology was constructed from insights of the debate about the self in American psychology. This debate included philosophical, neurological, psychological, spiritual, and theological issues. These were integrated into Kelly's methodology producing a psychotheological research perspective. This methodology consists of a research philosophy, theory and measures for body/self-concept, and statistical methods. The BSC Method is the six techniques for collecting qualitative and quantitative data. This collection depended on a computer. The quantitative data are ratings of bipolar adjective pairs and a Q-sort of body items. The BSC Method was tested in a study with 40 subjects. The qualitative results included affective self-report data. It was concluded that some of these results implied that this method pierced denial defense mechanisms. The quantitative results were highly valid and reliable for the attitude ratings, but less for the Q-sort. It was concluded that there was sufficient reliability and validity to justify further development of the BSC Methodology. The next step is to write a computer program for data collection and analysis.
2031-01-01
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POGGI, AMBRA. "Social Exclusion in Spain: Measurement Theory and Application." Doctoral thesis, Universitat Autonoma de Barcelona, 2004. http://hdl.handle.net/10281/14343.
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Despite its importance, there is remarkably little consensus among scientists on the definition of “social exclusion” and, therefore, on the best way to measure it. My aim in this thesis has been to address key problems regarding how to identify an adequate measure of social exclusion and how to analyse social exclusion dynamics. I then proceeded to develop an approach to measurement which was in accord with the working definition of social exclusion (considering also the previous literature), and I used it to establish if social exclusion was partially transitory, and to study eventual dependence paths that exclusion might generate. Note that my analysis proposes new approaches to study social exclusion and offers fresh empirical evidence on social exclusion dynamics in Spain from 1994 to 2000 (using ECHP data).
I define social exclusion as a multidimensional dynamic process leading to a state of individual exclusion relative to the rest of the society where the individual lives in. Social exclusion at a point in time is defined as the impossibility to achieve some relevant functionings. The choice of an index able to adequately measure exclusion is not easy. I have proposed to use a special case of the multidimensional generalization of the Foster-Green-Thorbecke index. The main reason has been that this index fulfils a set of axiomatic properties (Bourguignon and Chakravarty, 2003) and it is able to operazionalize Sen’s capability approach. Note that this index is also adequate to capture the multidimensionality of social exclusion and gives us information about the intensity of exclusion.
I have performed a detailed analysis of social exclusion mobility following the relative approach and using transition matrices (two-stage analysis). The main advantages of using transition matrices are the following: first, two-stage analysis provides a simple picture of the “movement” of the individuals among the specific social exclusion classes and, second, it is shown to be robust to data contamination. This kind of analysis have shown that social exclusion was partially a transitory phenomenon.
I have also focused on the causes leading to social exclusion process. I did find that an individual experiencing exclusion today was more likely to experience exclusion tomorrow due to both observed and unobserved individual heterogeneity and true state of dependence. The analysis has been done estimating a dynamic non-linear panel data model. I have used the random effects approach, and I have applied the solution proposed by Wooldridge (2002) to solve the initial condition problems. This approach have shown evidence of the importance of both true state dependence and observed/unobserved heterogeneity.
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McCaffrey, Stacey. "Mindfulness In Parenting Questionnaire (MIPQ): Development and validation of a measure of mindful parenting." NSUWorks, 2015. http://nsuworks.nova.edu/cps_stuetd/81.
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Mindful parenting has been defined as “paying attention to your child and your parenting in a particular way: intentionally, here and now, and non-judgmentally” (Kabat-Zinn & Kabat-Zinn, 1997). Although it is hypothesized that increasing mindful parenting improves parent and child functioning, the development of a measure of mindful parenting is needed to support this assumption. The aim of the present study was to develop and psychometrically evaluate a measure of mindful parenting (the Mindfulness In Parenting Questionnaire: MIPQ) for use with mothers and fathers of both children and adolescents, ranging in age from 2- to 16-years-old. The current study contained three phases. First, content experts in the area of mindfulness and parenting provided content for preliminary items. Second, parents participated in cognitive interviewing in order to reduce measurement error and increase the psychometrics of the measure. The third and final phase consisted of large-scale data collection to explore the psychometrics of the new MIPQ. Two-hundred and three parents recruited from academic and after-school programs in South Florida completed the MIPQ, along with measures of intrapersonal mindfulness, parenting behavior, parenting style, and a demographics questionnaire. The Partial Credit Model, which evidenced significantly better fit than the Rating Scale Model, was used to evaluate the MIPQ using WINSTEPS 3.74.01. The MIPQ was iteratively refined based on statistical and clinical considerations, resulting in a 28-item measure with 4 response categories. Further, results supported a 2 factor mindful parenting construct. The first factor (Parental Self-Efficacy) reflects a parent’s self-efficacy, as well as nonreactivity and awareness within the parenting role, while the second factor (Being in the Moment with the Child) pertains to the child, and reflects present-centered attention, empathic understanding, and acceptance of the child. Factors were correlated (r = .67) and explained 42.3% and 43.4% of the variance, respectively. Correlations between the MIPQ and parenting style, parenting practices, practice of mindfulness, and participant demographics provided support for convergent and discriminant validity. The MIPQ exhibited a positive and weak correlation with the MAAS, indicating that interpersonal and intrapersonal mindfulness are related, but separate and distinct constructs. Limitations and directions for future research are discussed.
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Youmbi, Norbert. "Probability theory on semihypergroups." [Tampa, Fla.] : University of South Florida, 2005. http://purl.fcla.edu/fcla/etd/SFE0001201.
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Shinde, Uday. "TOWARDS A UNIVERSAL DEFINITION AND MEASURE OF SPIRITUALITY IN THE WORKPLACE." OpenSIUC, 2014. https://opensiuc.lib.siu.edu/dissertations/848.
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The present study focuses on the further development of the increasingly popular field of spirituality and religiosity in the workplace (SRW) by providing a parsimonious definition, and a three dimensional model for the construct of spirituality grounded in the historical tradition of the perennial philosophy. The study subsequently adopts a multi-study validation process to develop the 21 item universal spirituality scale (USS). By creating a definition for spirituality that has a firm historical grounding and a universal outlook, the study addresses the dilemma of Religiosity vs. Spirituality faced by researchers in this area. This is further supported by the use of multiple samples and participants from three major world faith traditions (both eastern and western). The three factor model for spirituality derived in Study A (n=159) is corroborated by a separate sample of participants in Study B (n=181). The USS shows high levels of internal consistency reliability (α = 0.90, inter-item correlation = 0.32, and split-half, Guttman's coefficient value of 0.77). In Study C, criterion related validity is established by conducting a comparison of the USS with the DUREL - Duke University Religiosity Index (Koenig & Bussing, 2010). Results show that correlations were moderately high (0.20 to 0.41) at significance levels of 0.05 and 0.01 between expected factors for the DUREL and USS. Notably, there is no significant correlation for the factor of Universality (USS) indicating discriminant validity. Group differences for spirituality are measured in Study D (Known-groups validity). The results of parametric and non-parametric tests in Study D clearly illustrate that the USS is sensitive enough to detect differences in means in expected directions when administered to two different groups. Finally, high levels of test-retest reliability are noted in Study E (R = 0.73). Overall, the universal spirituality scale (USS) exhibits strong levels of validity and reliability. The study addresses the concerns surrounding the literature in the SRW area by offering a definition and universal framework for spirituality as well as a reliable and valid instrument for its measurement.
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Weir, Warren Bradley. "Construction and validation of a figural measure of tolerance/intolerance of ambiguity." Thesis, University of British Columbia, 1988. http://hdl.handle.net/2429/28307.
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The Tolerance/Intolerance of Ambiguity literature is plagued by conceptual confusion and methodological inadequacies. In particular, formulations of the construct and the instruments constructed to measure it suffer from a number of faults, including (1) incomplete and logically inconsistent definitions, (2) confusion regarding the relation between Tolerance/Intolerance of Ambiguity and Rigidity, (3) test confounds such as verbal ability and reactivity, (4) problems of item interpretation due to their verbal nature, (5) low estimates of internal consistency, and (6) questionable construct validity.
In this study, a reconceptualization of Tolerance/Intolerance of Ambiguity was distinguished from the construct of Rigidity, and a non-verbal measure was developed which employs ambiguous figures as item stimuli and reaction statements as a response format for each item. Figural stimuli were utilized in order to circumvent confounding factors such as verbal ability, reactivity, and "fakeability." Analysis of 142 ambiguous figures yielded five categories which served as subscales of the test. After pilot testing and refinement, the psychometric properties of the resultant 30-item test, the Figural Measure of Ambiguity Tolerance (FMAT), were investigated by including it as part of battery of tests administered to high school, college, and university students (N=160). This battery included verbal and non-verbal tests of Authoritarianism, Intolerance of Ambiguity and Cognitive Ability chosen so as to allow for an evaluation of construct validity via examination of a Multi-Trait, Multi-Method correlation matrix. A second matrix, generated by adjusting for verbal and non-verbal Cognitive Ability, was also examined. In addition, a criterion-group referencing approach was used to examine construct validity. The Figural Measure of Ambiguity Tolerance showed evidence of good internal consistency reliability at the subscale and total scale levels. The a priori subscale structure was
well-supported by factor-analytic results. Results of the validation portion of the study were inconclusive in that evidence of construct validity was minimal for all the measures involved. Given the limitations of previous conceptualizations and current verbal tests of Tolerance/Intolerance of Ambiguity, however, the results support the viability of this non-verbal measurement approach.Education, Faculty of
Educational and Counselling Psychology, and Special Education (ECPS), Department of
Graduate
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Delgado, Falcón Gaudi. "Exploring Theatre as a Medium for Change: A Critical Discourse Analysis of Measure for Measure in the Post #MeToo Era." Thesis, Linköpings universitet, Tema Genus, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-166664.
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This paper identifies the discursive practices and power mechanisms in passages of Measure for Measure where certain characters are ruled by the belief of superiority of one over all others. It examines how gender norms are constituted, reproduced, and challenged by drawing on Judith Butler’s theories on gender as a performative act to explore how meaning is reproduced dialogically. Also a Foucauldian understanding of power relations, Augusto Boal’s theatre theories and practices, and Sara Ahmed’s feminist theory.This study contributes to critical-reflexive analyses of gender, language, and literary criticism. The analysis here illuminates how theatre serves as a medium for social change. In doing so, this study offers a feminist perspective in theory and methodology that enables an understanding of how class, gender and power are factors intertwined in social relations. In short, the findings draw attention to the gendered social relationship processes, and thus, demonstrates that theatre is a valuable tool for social change in creating agents of change.
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SURIANO, LUCA. "A Quantum distance for noncommutative measure spaces and an application to quantum field theory." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2010. http://hdl.handle.net/2108/1326.
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Nella prima parte della Tesi, presentiamo una versione "puntata" della topologia di Gromov-Hausdorff quantistica introdotta da Rieffel per spazi metrici quantistici compatti (cioè, spazi con unità d'ordine e una seminorma Lipschitz che metrizza la topologia *-debole sullo spazio dei funzionali positivi normalizzati). In particolare, proporremo una nozione di cono tangente quantistico di uno spazio metrico quantistico, come analogo noncommutativo del cono tangente di Gromov in un punto di uno spazio metrico ordinario, basata su una opportuna procedura di riscalamento della seminorma Lipschitz definita su uno spazio metrico quantistico. Tale costruzione estende effettivamente la corrispondente costruzione valida per spazi metrici ordinari. Infine, a titolo di esempio, descriveremo il cono tangente quantistico del toro noncommutativo bidimensionale.
Nella seconda parte, invece, introduciamo una particolare distanza quantistica sull'insieme delle algebre di von Neumann Lip-normate (cioè, dotate di una ulteriore norma che metrizza la topologia debole sui sottoinsiemi limitati nella norma C*). Come avviene per le distanze di tipo Gromov-Hausdorff, anche questa distanza G.-H. duale è una pseudo-distanza, e diviene una vera distanza solo sulle classi di equivalenza isometrica (rispetto alla norma Lip) delle algebre di von Neumann Lip-normate. Inoltre, dimostreremo un criterio di precompatteza per famiglie di algebre di vN Lip-normate (fortemente) uniformemente limitate, utilizzando la nozione di ultraprodotto (ristretto) di algebre di vN Lip-normate. Infine, nell'ambito del'approccio algebrico alla teoria quantistica dei campi, applicheremo tale costruzione allo studio del limite di scala (cioè, quando si fanno tendere a un punto le regioni dello spaziotempo su cui sono definiti gli osservabili della teoria) di una rete locale di algebre di vN (le algebre degli osservabili), confrontando l'approccio tramite ultraprodotti (e con la convergenza nella distanza quantistica) con la costruzione delle algebre "limite di scala" di Buchholz e Verch, mostrando che nel caso del campo libero bosonico le due procedure forniscono lo stesso risultato.In the first part of this dissertation, we study a pointed version of Rieffel's quantum Gromov-Hausdorff topology for compact quantum metric spaces (i.e, order-unit spaces with a Lipschitz-like seminorm inducing a distance on the space of positive normalized linear functionals which metrizes the w*-topology). In particular, in analogy with Gromov's notion of metric tangent cone at a point of an (abstract) proper metric space, we propose a similar construction for (compact) quantum metric spaces, based on a suitable procedure of rescaling the Lipschitz seminorm on a given quantum metric space. As a result, we get a quantum analogue of the Gromov tangent cone, which extends the classical (say, commutative) construction. As a case study, we apply this procedure to the two-dimensional noncommutative torus, and we obtain what we call a noncommutative solenoid. In the second part, we introduce a quantum distance on the set of dual Lip-von Neumann algebras (i.e., vN algebras with a dual Lip-norm which metrizes the w*-topology on bounded subset). As for the other G.-H. distances (classical or quantum), this dual quantum Gromov-Hausdorff (pseudo-)distance turns out to be a true distance on the (Lip-)isometry classes of Lip-vN algebras. We give also a precompactness criterion, relating the limit of a (strongly) uniform sequence of Lip-vN algebras to the (restricted) ultraproduct, over an ultrafilter, of the same sequence. As an application, we apply this construction to the study of the Buchholz-Verch scaling limit theory of a local net of (algebras of) observables in the algebraic quantum field theory framework, showing that the two approaches lead to the same result for the (real scalar) free field model.
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Nguyen, Khai/T. "The regularity of the minimum time function via nonsmooth analysis and geometric measure theory." Doctoral thesis, Università degli studi di Padova, 2010. http://hdl.handle.net/11577/3427404.
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Several regularity results on the minimum time function are proved, together with regularity properties of a class of continuous functions whose hypograph satisfies an external sphere condition.Si dimostrano risultati di regolarita' per la funzione tempo minimo, mediante particolari proprieta' di una classe di funzioni continue il cui ipografico soddisfa una condizione di sfera esterna.
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Turner, Wesley. "SLOTZ: A Game-Based Measure of Problem Gambling." Thesis, Griffith University, 2018. http://hdl.handle.net/10072/380999.
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The last decade has seen a marked increase in gambling availability and participation. This increase is in part due to a rapid proliferation in digital platforms of gambling delivery, including online betting and smartphone betting applications. In turn, this rise in gambling availability and participation has led to an increase in the prevalence of gambling-related issues. This is particularly concerning, as relatively few problem gamblers ever engage in treatment, despite experiencing substantial psychological and social impairment as a result of their gambling. Difficulties with engagement are likely to stem from the many barriers problem gamblers face when seeking treatment, including financial issues, stigma, embarrassment and shame. Successful utilisation of digital technologies may help overcome barriers often faced by more traditional face-to-face mental health assessments and interventions, with these novel forms of digital delivery being potentially better suited to fostering user engagement, motivation and retention in mental health assessments and interventions.
To date, virtual reality technologies present as one the most efficacious forms of digital mental health assessments and interventions, providing a range of interactive systems, environments and mechanisms by which mental health assessment and intervention can be enacted. Review of the literature and meta-analysis, as reported in Chapter 3, supported the efficacy of virtual reality-based interventions, though issues regarding methodological rigour remain. Yet despite the promise of virtual reality-based assessments and interventions, their development and implementation has been sluggish. For this reason, there appears to be a need to explore the utility of alternative digital delivery platforms.
Video games provide a more readily-accessible, cost-effective digital delivery platform for mental health assessment and intervention. Mental health video games aim to make the processes of change and learning more meaningful and engaging. As is reported in Chapter 4, review of the literature revealed that mental health video game assessments and interventions have successfully been investigated in the assessment and treatment of a number of populations and presentations. Moreover, it was observed that mental health video games may pose a particularly useful platform for engaging hard-to-reach populations such as problem gamblers, engaging users emotionally, capturing their attention and promoting continuing engagement. However, it was concluded that the lack of empirically supported theory, methodological rigour and psychometric validation in the literature makes it difficult to draw overall conclusions regarding the efficacy and utility of mental health video games. It was determined that there remains a need in the literature for robust examples of the development and implementation of empirically driven, well-validated mental health video games.
The overall aim of this thesis was to explore the role digital technologies can play in the development and delivery of mental health assessment and intervention, with particular focus placed upon the area of problem gambling. To this end, a novel mental health video game assessment of problem gambling was developed (SLOTZ). Game play was developed in accordance with game design and gambling-related neuropsychological theory. Initial conceptualization, development, piloting and the first iteration of revision and refinement of SLOTZ game play is described over the course of Chapter 5 and Chapter 6. Levels of immersion and engagement were found to be high, with participants observed to find SLOTZ game engaging and enjoyable. Two SLOTZ sub-tests were observed to significantly correlate with established measures of gambling severity and to demonstrate an ability to significantly predict gambling severity in participants. Implications, limitations and directions for future research are discussed in Chapter 7 and Chapter 8.
Overall, findings from this thesis provide evidence that problem gambling can be identified and predicted via video game play. SLOTZ presents as an economical, engaging, enjoyable, and psychometrically validated means of problem gambling assessment that is likely to be wide-in-reach and less psychological, socially and financially aversive to populations who are historically difficulty to engage. Moreover, this thesis provides a sound example of the process of empirically testing digital mental health video assessments and interventions via a multi-step iterative process of pilot testing and refinement, demonstrating the utility of video games in mental health assessment and interventions.Thesis (Professional Doctorate)
Doctor of Philosophy in Clinical Psychology (PhD ClinPsych)
School of Applied Psychology
Griffith Health
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Assi, Jolnar Abdulkarim. "Knightian uncertainty modelling and its impact on option pricing : applications of fuzzy set theory, fuzzy measure theory and fuzzy differential calculus." Thesis, City University London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.274460.
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