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Rozprawy doktorskie na temat „Statistical Theory”

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Data publikacji: 4 czerwca 2021

Data aktualizacji: 25 lipca 2025

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1

Liang, Annie. "Economic Theory and Statistical Learning." Thesis, Harvard University, 2016. http://nrs.harvard.edu/urn-3:HUL.InstRepos:33493561.

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This dissertation presents three independent essays in microeconomic theory. Chapter 1 suggests an alternative to the common prior assumption, in which agents form beliefs by learning from data, possibly interpreting the data in different ways. In the limit as agents observe increasing quantities of data, the model returns strict solutions of a limiting complete information game, but predictions may diverge substantially for small quantities of data. Chapter 2 (with Jon Kleinberg and Sendhil Mullainathan) proposes use of machine learning algorithms to construct benchmarks for “achievable" pred

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2

Lu, Adonis. "Statistical Theory Through Differential Geometry." Scholarship @ Claremont, 2019. https://scholarship.claremont.edu/cmc_theses/2181.

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This thesis will take a look at the roots of modern-day information geometry and some applications into statistical modeling. In order to truly grasp this field, we will first provide a basic and relevant introduction to differential geometry. This includes the basic concepts of manifolds as well as key properties and theorems. We will then explore exponential families with applications of probability distributions. Finally, we select a few time series models and derive the underlying geometries of their manifolds.

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3

Leroux, Brian Gilbert. "Likelihood ratios in asymptotic statistical theory." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/24843.

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This thesis deals with two topics in asymptotic statistics. A concept of asymptotic optimality for sequential tests of statistical hypotheses is introduced. Sequential Probability Ratio Tests are shown to have asymptotic optimality properties corresponding to their usual optimality properties. Secondly, the asymptotic power of Pearson's chi-square test for goodness of fit is derived in a new way. The main tool for evaluating asymptotic performance of tests is the likelihood ratio of two hypotheses. In situations examined here the likelihood ratio based on a sample of size ⁿ has a limiting dis

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4

Rasmussen, H. O. "The statistical theory of stationery turbulence." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.363346.

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5

Thomas, Kuryan. "A statistical theory of the epilepsies." Diss., Virginia Polytechnic Institute and State University, 1988. http://hdl.handle.net/10919/87673.

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A new physical and mathematical model for the epilepsies is proposed, based on the theory of bond percolation on finite lattices. Within this model, the onset of seizures in the brain is identified with the appearance of spanning clusters of neurons engaged in the spurious and uncontrollable electrical activity characteristic of seizures. It is proposed that the fraction of excitatory to inhibitory synapses can be identified with a bond probability, and that the bond probability is a randomly varying quantity displaying Gaussian statistics. The consequences of the proposed model to the treatme

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6

Lee, Yun-Soo. "On some aspects of distribution theory and statistical inference involving order statistics." Virtual Press, 1991. http://liblink.bsu.edu/uhtbin/catkey/834141.

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Statistical methods based on nonparametric and distribution-free procedures require the use of order statistics. Order statistics are also used in many parametric estimation and testing problems. With the introduction of modern high speed computers, order statistics have gained more importance in recent years in statistical inference - the main reason being that ranking a large number of observations manually was difficult and time consuming in the past, which is no longer the case at present because of the availability of high speed computers. Also, applications of order statistics require in

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7

Grigo, Alexander. "Billiards and statistical mechanics." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29610.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2009.<br>Committee Chair: Bunimovich, Leonid; Committee Member: Bonetto, Federico; Committee Member: Chow, Shui-Nee; Committee Member: Cvitanovic, Predrag; Committee Member: Weiss, Howard. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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8

Jeng, Tian-Tzer. "Some contributions to asymptotic theory on hypothesis testing when the model is misspecified /." The Ohio State University, 1987. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487332636473942.

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9

Weston, Robert Andrew. "Lattice field theory and statistical-mechanical models." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315971.

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10

Jiang, Xiao. "Contributions to statistical distribution theory with applications." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/contributions-to-statistical-distribution-theory-with-applications(fa612f53-1950-48c2-9cdf-135b2d145587).html.

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The whole thesis contains 10 chapters. Chapter 1 is the introductory chapter of my thesis and the main contributions are presented in Chapter 2 through to Chapter 9. Chapter 10 is the conclusion chapter. These chapters are motivated by applications to new and existing problems in finance, healthcare, sports, and telecommunications. In recent years, there has been a surge in applications of generalized hyperbolic distributions in finance. Chapter 2 provides a review of generalized hyperbolic and related distributions, including related programming packages. A real data application is presented

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11

Chu, Jeffrey. "Statistical distribution theory with applications to finance." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/statistical-distribution-theory-with-applications-to-finance(415d8a76-64d1-4c78-a299-a931f7e1b48c).html.

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The whole thesis comprises six chapters, where the running theme focuses on the development of statistical methods and distribution theory, with applications to finance. It begins with Chapter 1, which provides the introduction and background to my thesis. This is then followed by Chapters 2 through to 6, which provide the main contributions. The exact distribution of the sum of more than two independent beta random variables is not a known result. Even in terms of approximations, only the normal approximation is known for the sum. Motivated by Murakami (2014), Chapter 2 derives a saddlepoint

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12

Acharya, Anirudh. "Quantum tomography : asymptotic theory and statistical methodology." Thesis, University of Nottingham, 2018. http://eprints.nottingham.ac.uk/49998/.

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Recent experimental progress in the preparation and control of quantum systems has brought to light the importance of Quantum State Tomography (QST) in validating the results. In this thesis we investigate several aspects of QST, whose central problem is to devise estimation schemes for the recovery of an unknown state, given an ensemble of n independent identically prepared systems. The key issues in tackling QST for large dimensional systems is the construction of physically relevant low dimensional state models, and the design of appropriate measurements. Inspired by compressed sensing tomo

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13

Herath, H. M. A. C. "Statistical databases within a relational framework." Thesis, Keele University, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386218.

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14

Deng, Xinwei. "Contributions to statistical learning and statistical quantification in nanomaterials." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29777.

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Thesis (Ph.D)--Industrial and Systems Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Wu, C. F. Jeff; Committee Co-Chair: Yuan, Ming; Committee Member: Huo, Xiaoming; Committee Member: Vengazhiyil, Roshan Joseph; Committee Member: Wang, Zhonglin. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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15

Dugarte, Edgar José Candales. "Partitions theory in physics : some applications on string theory and statistical mechanics." Universidade Estadual de Londrina. Centro de Ciências Exatas. Programa de Pós-Graduação em Física, 2018. http://www.bibliotecadigital.uel.br/document/?code=vtls000217536.

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O poder combinatório da teoria de partições permite calcular os parâmetros termodinâmicos dos sistemas físicos. Em particular, a teoria das partições é especialmente útil para contar os estados que são especificados pela aplicação dos operadores de criação. Também derivamos e refinamos a fórmula de Hardy-Ramanujan através da Mecânica Estatística.<br>The combinatorial power of the Partitions theory allows to calculate thermodynamical parameters of physical systems. In particular, Partitions theory is especially useful to count states that are specified by the application of creation-operator

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16

Kuchler, Ryan J. "Theory of multirate statistical signal processing and applications." Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2005. http://library.nps.navy.mil/uhtbin/hyperion/05Sep%5FKuchler%5FPhD.pdf.

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17

Itami, Masato. "Non-equilibrium Statistical Theory for Singular Fluid Stresses." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215285.

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18

Fang, Gang. "Rate of liquid evaporation, statistical rate theory approach." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0001/NQ35153.pdf.

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19

Munsaka, Melvin Slaighter. "Some integral equations connected with statistical distribution theory." Thesis, McGill University, 1990. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=60056.

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This thesis looks at certain integral equations which are used to obtain statistical distributions, particularly in the multivariate case. In all, seven integral equations are considered. Two of the integral equations were introduced by Wilks (1932) and these are known as type A and type B integral equations. The other five known as type C to type G were introduced by Mathai (1984). Some statistical distributions associated with the solutions to these integral equations will also be discussed.

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20

Choy, Siu Kai. "Statistical histogram characterization and modeling : theory and applications." HKBU Institutional Repository, 2008. http://repository.hkbu.edu.hk/etd_ra/913.

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21

Siviero, Emilia. "Statistical Learning for Spatial data : theory and practice." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. http://www.theses.fr/2024IPPAT032.

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À l'époque des grandes données, l'accès à des ensembles de données massives, présentant une structure de dépendance spatiale possiblement complexe, augmente de plus en plus. Dans cette thèse, notre objectif est de surmonter les enjeux liés à la structure de dépendance des données spatiales (et spatio-temporelles). En un premier temps, nous analysons le Krigeage simple, problème clé en Géostatistique, en adoptant le point de vue de l'apprentissage statistique, i.e. en effectuant une analyse prédictive non paramétrique à partir d'un échantillon fini. Dans ce contexte, la théorie probabiliste sta

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22

McCabe, Clare. "Statistical mechanics of chain molecules." Thesis, University of Sheffield, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.287724.

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23

Lesser, Elizabeth Rochelle. "A New Right Tailed Test of the Ratio of Variances." UNF Digital Commons, 2016. http://digitalcommons.unf.edu/etd/719.

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It is important to be able to compare variances efficiently and accurately regardless of the parent populations. This study proposes a new right tailed test for the ratio of two variances using the Edgeworth’s expansion. To study the Type I error rate and Power performance, simulation was performed on the new test with various combinations of symmetric and skewed distributions. It is found to have more controlled Type I error rates than the existing tests. Additionally, it also has sufficient power. Therefore, the newly derived test provides a good robust alternative to the already existing me

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24

屠烈偉 and Lit-wai Tao. "Statistical inference on a mixture model." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1993. http://hub.hku.hk/bib/B31977480.

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25

Tao, Lit-wai. "Statistical inference on a mixture model." [Hong Kong] : University of Hong Kong, 1993. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13781479.

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26

Florêncio, Dinei Alfonso Ferreira. "A new sampling theory and a framework for nonlinear filter banks." Diss., Georgia Institute of Technology, 1996. http://hdl.handle.net/1853/15792.

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27

Elliott, Janet Anne Wade. "Advancements in the statistical rate theory treatment of adsorption." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ27917.pdf.

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28

Hill, S. "Applications of statistical learning theory to signal processing problems." Thesis, University of Cambridge, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.604048.

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The dissertation focuses on the applicability of Support Vector Regression (SVR) in signal processing contexts. This is shown to be particularly well-suited to filtering in alpha-stable noise environments, and a further slight modification is proposed to this end. The main work in this dissertation on SVR is on the application to audio filtering based on perceptual criteria. This appears an ideal solution to the problem due to the fact that the loss function typically used by perceptual audio filtering practitioners incorporates a region of zero loss, as does SVR. SVR is extended to the proble

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29

Vladikas, A. "An analogue statistical mechanical approach in quantum field theory." Thesis, Imperial College London, 1985. http://hdl.handle.net/10044/1/37887.

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30

Hu, Qiao Ph D. Massachusetts Institute of Technology. "Application of statistical learning theory to plankton image analysis." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/39206.

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Thesis (Ph. D.)--Joint Program in Applied Ocean Science and Engineering (Massachusetts Institute of Technology, Dept. of Mechanical Engineering; and the Woods Hole Oceanographic Institution), 2006.<br>Includes bibliographical references (leaves 155-173).<br>A fundamental problem in limnology and oceanography is the inability to quickly identify and map distributions of plankton. This thesis addresses the problem by applying statistical machine learning to video images collected by an optical sampler, the Video Plankton Recorder (VPR). The research is focused on development of a real-time autom

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31

JAVARONE, MARCO ALBERTO. "Statistical Physics of Evolutionary Game Theory and its Applications." Doctoral thesis, Università degli Studi di Cagliari, 2017. http://hdl.handle.net/11584/249581.

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Evolutionary Game Theory represents a vibrant and interdisciplinary research field, that is attracting the interest of scientists belonging to different communities, spanning from physicists to biologists, and from mathematicians to sociologists. In few words, it represents the attempt to study the evolutionary dynamics of a population by the framework of Game Theory, taking into account the Darwinian theory of natural evolution. As result, Evolutionary Game Theory allows to model a number of scenarios, as social and biological systems, with a high level of abstraction. On one hand, the contri

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32

Deel, Troy A. "A statistical study of graph algorithms." Virtual Press, 1985. http://liblink.bsu.edu/uhtbin/catkey/424871.

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The object of this paper is to investigate the behavior of some important graph properties and to statistically analyze the execution times of certain graph are the average degree of a vertex, connectivity of a graph, the existence of Hamilton cycles, Euler tours, and bipartitions in graphs. This study is unique in that it is based on statistical rather than deterministic methods.

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33

Cheng, Dunlei Stamey James D. "Topics in Bayesian sample size determination and Bayesian model selection." Waco, Tex. : Baylor University, 2007. http://hdl.handle.net/2104/5039.

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34

Ho, Man Wai. "Bayesian inference for models with monotone densities and hazard rates /." View Abstract or Full-Text, 2002. http://library.ust.hk/cgi/db/thesis.pl?ISMT%202002%20HO.

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Thesis (Ph. D.)--Hong Kong University of Science and Technology, 2002.<br>Includes bibliographical references (leaves 110-114). Also available in electronic version. Access restricted to campus users.

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35

Fung, Wing-kam Tony. "Analysis of outliers using graphical and quasi-Bayesian methods /." [Hong Kong] : University of Hong Kong, 1987. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1236146X.

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36

Guo, Yawen. "On Some Test Statistics for Testing the Population Skewness and Kurtosis: An Empirical Study." FIU Digital Commons, 2016. http://digitalcommons.fiu.edu/etd/3045.

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The purpose of this thesis is to propose some test statistics for testing the skewness and kurtosis parameters of a distribution, not limited to a normal distribution. Since a theoretical comparison is not possible, a simulation study has been conducted to compare the performance of the test statistics. We have compared both parametric methods (classical method with normality assumption) and non-parametric methods (bootstrap in Bias Corrected Standard Method, Efron’s Percentile Method, Hall’s Percentile Method and Bias Corrected Percentile Method). Our simulation results for testing the skewne

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37

Magnello, Eileen. "Karl Pearson : evolutionary biology and the emergence of a modern theory of statistics (1884-1936)." Thesis, University of Oxford, 1994. http://ora.ox.ac.uk/objects/uuid:e3fe747f-3879-42f6-80b0-f50016460dc2.

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This thesis examines the development of modern statistical theory and its emergence as a highly specialised mathematical discipline at the end of the nineteenth century. The statistical work of the mathematician and statistician Karl Pearson (1857-1936), who almost singularly created the modern theory of statistics, is the focus of the thesis. The impact of the statistical and experimental work of the Darwinian zoologist W.F.R. Weldon (1860-1906), on the emergence and construction of Pearsonian statistical innovation, is central to the arguments developed in this thesis. Contributions to the P

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38

Zhang, Zuoshun. "Proper posterior distributions for some hierarchical models and roundoff effects in the Gibbs sampler /." Digital version accessible at:, 2000. http://wwwlib.umi.com/cr/utexas/main.

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39

Antal, Laszlo. "Statistical disclosure control for frequency tables." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/statistical-disclosure-control-for-frequency-tables(cfee4921-b2a9-49ea-a1b5-9f04e7476131).html.

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Disclosure risk assessment of statistical data, such as frequency tables, is a prerequisite for data dissemination. This thesis investigates the problem of disclosure risk assessment of frequency tables from the perspective of a statistical institute. In the research reported here, disclosure risk is measured by a mathematical function designed for the data according to a disclosure risk scenario. Such functions are called disclosure risk measures. A disclosure risk measure is defined for frequency tables based on the entire population using information theory. If the disclosure risk of a popu

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40

Wang, Hongyan. "Analysis of statistical learning algorithms in data dependent function spaces /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-ma-b23750534f.pdf.

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Thesis (Ph.D.)--City University of Hong Kong, 2009.<br>"Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [87]-100)

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41

Karanjai, Angela. "Statistical Modelling of Quantum Data." Thesis, The University of Sydney, 2019. https://hdl.handle.net/2123/22134.

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The work presented in this thesis considers statistical models of quantum statistics. It sets up a framework to analyse experimental data, which is independent of any particular theory, being careful to eliminate any bias towards the theory of quantum mechanics. This framework allows us to separate the discussion of quantum statistics, which are the predictions of quantum theory, from the theory of quantum mechanics enabling an evaluation of alternative models in reproducing the same statistics. The framework allows one to evaluate the non-classicality of a process or phenomenon, without relyi

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42

Jankowitz, Maria Dorothea. "Some statistical aspects of LULU smoothers." Thesis, Link to the online version, 2007. http://hdl.handle.net/10019.1/1124.

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43

Vigneaux, Juan Pablo. "Topology of statistical systems : a cohomological approach to information theory." Thesis, Sorbonne Paris Cité, 2019. http://www.theses.fr/2019USPCC070.

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Cette thèse étend dans plusieurs directions l’étude cohomologique de la théorie de l’information initiée par Baudot et Bennequin. On introduit une notion d'espace statistique basée sur les topos, puis on étudie plusieurs invariants cohomologiques. Les fonctions d’information et quelques objets associés apparaissent comme des classes de cohomologie distinguées ; les équations de cocycle correspondantes codent les propriétés récursives de ces fonctions. L'information a donc une signification topologique et la topologie sert de cadre unificateur.La première partie traite des fondements géométriqu

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44

Louf, Rémi. "Wandering in cities : a statistical physics approach to urban theory." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066359/document.

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Les données disponibles au sujet des villes ne cessent de croître en quantité et en précision. Cependant, malgré l'explosion de la quantité d'information disponible, notre compréhension des processus qui régissent les villes et le phénomène d'urbanisation restent mal compris. Dans cette thèse, nous nous proposons d'étudier les villes en adoptant une démarche inspirée de la physique statistique. Dans un premier temps, nous présentons un modèle stochastique et hors-équilibre de croissance des villes qui décrit la structure du réseau de mobilité. Ce modèle conduit à une prédiction sur la croissan

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45

Abu-Samreh, Mohammad Mahmud. "Thermalization theory in heavy ion collisions by nonequilibrium statistical mechanics." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/185391.

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This dissertation presents a semiclassical microscopic approach based on the Uehling-Uhlenbeck equation for studying the equilibration processes due to nucleon-nucleon collisions during the collision of two heavy ions in the low and intermediate energy domain (5-100 MeV/nucleon). The state formed in the early stages of a heavy-ion collision can be characterized by a highly excited non-equilibrium system of nucleons. Equilibration processes then take place resulting in a system for which a temperature can be defined at least locally. The single-nucleon distribution function for the nucleons dur

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46

Gianvecchio, Steven. "Application of information theory and statistical learning to anomaly detection." W&M ScholarWorks, 2010. https://scholarworks.wm.edu/etd/1539623563.

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In today's highly networked world, computer intrusions and other attacks area constant threat. The detection of such attacks, especially attacks that are new or previously unknown, is important to secure networks and computers. A major focus of current research efforts in this area is on anomaly detection.;In this dissertation, we explore applications of information theory and statistical learning to anomaly detection. Specifically, we look at two difficult detection problems in network and system security, (1) detecting covert channels, and (2) determining if a user is a human or bot. We link

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47

Hu, Zhiji. "Statistical approach toward designing expert system." Virtual Press, 1988. http://liblink.bsu.edu/uhtbin/catkey/539812.

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Inference under uncertainty plays a crucial role in expert system and receives growing attention from artificial intelligence experts, statisticians, and psychologists. In searching for new satisfactory ways to model inference under uncertainty, it will be necessary to combine the efforts of researchers from different areas. It is expected that with deep insight into this crucial problem, it will not only have enormous impact on development of AI and expert system, but also bring classical areas like statistics into a new stage. This research paper gives a precise synopsis of present work in t

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48

Leung, Denis H. Y. "Robust estimation : efficiency and bias, in theory and practice." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236163.

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49

李建德 and Kin-tak Christopher Li. "Statistical problems involving compositions in a covariate role." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31207777.

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Li, Kin-tak Christopher. "Statistical problems involving compositions in a covariate role /." [Hong Kong] : University of Hong Kong, 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12326227.

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