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Dissertations / Theses on the topic 'Multivariable I -function'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

Jackson, Ian Robert Hart. "Radial basis function methods for multivariable approximation." Thesis, University of Cambridge, 1988. https://www.repository.cam.ac.uk/handle/1810/270416.

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2

Mertz, Christopher George. "Utilization of Genetic Algorithms and Constrained Multivariable Function Minimization to Estimate Load Model Parameters from Disturbance Data." Thesis, Virginia Tech, 2013. http://hdl.handle.net/10919/23289.

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As the requirements to operate the electric power system become more stringent and operating costs must be kept to a minimum, operators and planners must ensure that power system models are accurate and capable of replicating system disturbances. Traditionally, load models were represented as static ZIP models; however, NERC has recently required that planners model the transient dynamics of motor loads to study their effect on the postdisturbance behavior of the power system. Primarily, these studies are to analyze the effects of fault-induced, delayed voltage recovery, which could lead to ca

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3

Bébé, Ekongolo Simon Honoré. "Contribution à l'identification des systèmes dynamiques sur la base de filtres orthogonaux : le cas des filtres de Laguerre." Vandoeuvre-les-Nancy, INPL, 1996. http://www.theses.fr/1996INPL032N.

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La modélisation de système sous forme de fonction de transfert ou de matrice de transfert est classique en automatique. Elle comporte une phase dite structurelle délicate et une phase d'estimation des paramètres. L’utilisation de filtres orthogonaux dans ce cadre, réduit toutefois souvent la phase de modélisation structurelle au simple choix de la famille des filtres et conduit à des modèles linéaires faciles à identifier (à partir des moindres carrés pondérés par exemple). En particulier, les filtres de Laguerre-Kautz, que nous avons étudié dans cette thèse, se révèlent d'une grande efficacit

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4

Baragilly, Mohammed Hussein Hassan. "Clustering multivariate and functional data using spatial rank functions." Thesis, University of Birmingham, 2016. http://etheses.bham.ac.uk//id/eprint/7124/.

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In this work, we consider the problem of determining the number of clusters in the multivariate and functional data, where the data are represented by a mixture model in which each component corresponds to a different cluster without any prior knowledge of the number of clusters. For the multivariate case, we propose a new forward search methodology based on spatial ranks. We also propose a modified algorithm based on the volume of central rank regions. Our numerical examples show that it produces the best results under elliptic symmetry and it outperforms the traditional forward search based

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5

Cardoso, Reginaldo. "Controle à estrutura variável com múltiplas entradas - múltiplas saídas, aplicado a um veículo robótico submarino." reponame:Repositório Institucional da UFABC, 2018.

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Orientador: Prof. Dr. Magno Enrique Mendoza Meza<br>Coorientadora: Profª. Drª. Silvia Lenyra Meirelles Campos Titotto<br>Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Engenharia Mecânica, Santo André, 2018.

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6

Buhmann, Martin Dietrich. "Multivariable interpolation using radial basis functions." Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.315189.

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7

Danieli, Coraline. "Contributions méthodologiques à l’estimation de la survie nette : comparaison des estimateurs et tests des hypothèses du modèle du taux en excès." Thesis, Lyon 1, 2014. http://www.theses.fr/2014LYO10294/document.

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La survie nette est un indicateur très utilisé en épidémiologie des cancers. Il s'agit de la survie que l'on observerait si la seule cause de mortalité était le cancer ; il est le seul indicateur épidémiologique utilisable à des fins de comparaisons de survie (entre périodes/pays) car il s'affranchit des éventuelles différences de mortalité dues aux autres causes que le cancer. Le premier objectif de notre travail était d'analyser les performances des différentes méthodes d'estimation de la survie nette sur données simulées ainsi que sur données réelles afin que les méthodes non biaisées soien

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8

Calder, P. "Influence functions in multivariate analysis." Thesis, University of Kent, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.375052.

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9

Kharoufeh, Jeffrey P. "Density estimation for functions of correlated random variables." Ohio : Ohio University, 1997. http://www.ohiolink.edu/etd/view.cgi?ohiou1177097417.

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10

Xie, Weiyi. "A Geometric Approach to Visualization of Variability in Univariate and Multivariate Functional Data." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1500348052174345.

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11

Lopes, Leandro Rocha. "APRENDIZAGEM POR REFORÇO E PROGRAMACÃO DINÂMICA ADAPTATIVA PARA PROJETO E AVALIAÇÃO DO DESEMPENHO DE ALGORITMOS DLQR EM SISTEMAS MIMO." Universidade Federal do Maranhão, 2011. http://tedebc.ufma.br:8080/jspui/handle/tede/462.

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Made available in DSpace on 2016-08-17T14:53:16Z (GMT). No. of bitstreams: 1 Leandro Rocha Lopes.pdf: 1075564 bytes, checksum: 01e184ed6d7c65323c0dfc1515da19a3 (MD5) Previous issue date: 2011-04-04<br>Due to the increasing of technological development and its associated industrial applications, control design methods to attend high performance requests and reinforcement learning are been developed, not only, to solve new problems, as well as, to improve the performance of implemented controllers in the real systems. The reinforcement learning (RL) and discrete linear quadratic regulator (D

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12

Breitenbucher, Jon W. "Third order mock theta functions for multivariable symplectic hypergeometric series /." The Ohio State University, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486394475981188.

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13

Wei, Ang. "Random harmonic functions and multivariate Gaussian estimates." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 82 p, 2009. http://proquest.umi.com/pqdweb?did=1833647371&sid=2&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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14

White, Gareth. "Algorithms for Galois group computations over multivariate function fields." Thesis, The University of Sydney, 2014. http://hdl.handle.net/2123/12889.

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In this thesis, two separate algorithms are described to determine the Galois group of a polynomial f defined over a function field of the form Q(w1,...,wa), both of which use Stauduhar’s method for polynomials over Q, with various techniques used to make them compatible for function fields as the base field. In particular, both algorithms construct the resolvent of f. The first algorithm uses a special form of Hensel lifting to express the roots as a multivariate power series of sufficient precision to determine the resolvent exactly. This precision is derived through the use of Newton polygo

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15

Cheyne, Christopher Paul. "Multivariate modelling of cognitive function and brain structural data." Thesis, University of Liverpool, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.569125.

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Previous studies have investigated links between cognitive ability and a number of factors including age, gender, handedness, musical ability as well as the volume and surface area of certain brain structures, However, in these studies either the explanatory variables are analysed independently of each other, or the investigation is based on a separate analysis for individual cognitive outcomes (e.g. language, visuospatial, etc.) The main objectives of this thesis are(1) to develop general multivariate models, which include mixed-effects terms, to account for the correlation in the data, (2) t

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16

Wagner, Joel Patrick. "Multivariate studies of receptor tyrosine kinase function in cancer." Thesis, Massachusetts Institute of Technology, 2013. http://hdl.handle.net/1721.1/81672.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Biological Engineering, 2013.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 215-232).<br>Receptor tyrosine kinases (RTKs) are critical regulators of cellular homeostasis in multicellular organisms. They influence cell proliferation, migration, differentiation, and transcriptional activation, among other processes, and are therefore also relevant to cancer biology. Upon interaction with cognate ligand, RTKs initiate signaling cascades dependent in part on the phosphorylation of proteins. From

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17

Son, Vladimir. "Multivariate Population Attributable Hazard Function For Right-Censored Data." Bowling Green State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1380393816.

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18

Van, der Bijl Rinske. "Multivariate refinable functions with emphasis on box splines." Thesis, Stellenbosch : Stellenbosch University, 2008. http://hdl.handle.net/10019.1/2743.

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Thesis (MComm (Mathematics))--Stellenbosch University, 2008.<br>The general purpose of this thesis is the analysis of multivariate refinement equations, with focus on the bivariate case. Since box splines are the main prototype of such equations (just like the cardinal B-splines in the univariate case), we make them our primary subject of discussion throughout. The first two chapters are indeed about the origin and definition of box splines, and try to elaborate on them in sufficient detail so as to build on them in all subsequent chapters, while providing many examples and graphical illu

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19

Kruglov, Victoria. "Growth of the ideal generated by a quadratic multivariate function." University of Cincinnati / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1282931168.

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20

Huet, Nathan. "Statistical learning for multivariate and functional extremes." Electronic Thesis or Diss., Institut polytechnique de Paris, 2024. http://www.theses.fr/2024IPPAT031.

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Dans un monde où le réchauffement climatique provoque de plus en plus de phénomènes météorologiques extrêmes d’ampleurs croissantes, cette thèse explore la modélisation des évènements extrêmes à travers des méthodes statistiques enrichies par l’apprentissage statistique. Elle se divise en deux grandes parties. Dans un premier temps, les extrêmes fonctionnels sont étudiés, c’est-à-dire les extrêmes de données dépendant explicitement d’une variable continue comme le temps. Nous travaillons dans un espace de Hilbert séparable, avec un focus sur l’espace L2[0, 1].Des résultats sur la variation rég

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21

Hong, Feng. "Multivariable predictive control development and application in food extrusion processes /." free to MU campus, to others for purchase, 1999. http://wwwlib.umi.com/cr/mo/fullcit?p9946262.

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22

Carta, Alessandro. "Copula functions and application to multivariate stochastic frontier models." Thesis, University of Warwick, 2012. http://wrap.warwick.ac.uk/54467/.

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Copula functions represent a statistical methodology that has recently attracted a lot of attention in different fields of applications such as finance, economics, microeconomics and etc. Copulas are mainly known to have the ability to disentangle a multivariate distributions in two components: dependence and marginal functions. In this Thesis we apply this statistical tool to elaborate a multivariate stochastic frontier model, with the purpose of estimating the inefficiency term of economic units, producing more than one output. The proposed model is compared with the previous multivariate mo

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23

Ayari, Samia. "Nonparametric estimation of the dependence function for multivariate extreme value distributions." Thesis, Aix-Marseille, 2016. http://www.theses.fr/2016AIXM4078.

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Dans cette thèse, nous abordons l'estimation non paramétrique de la fonction de dépendance des distributions multivariées à valeurs extrêmes. Dans une première partie, on adopte l’hypothèse classique stipulant que les variables aléatoires sont indépendantes et identiquement distribuées (i.i.d). Plusieurs estimateurs non paramétriques sont comparés pour une fonction de dépendance trivariée de type logistique dans deux différents cas. Dans le premier cas, on suppose que les fonctions marginales sont des distributions généralisées à valeurs extrêmes. La distribution marginale est remplacée par la

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24

Rzadca, Mark C. "Multivariate granulometry and its application to texture segmentation /." Online version of thesis, 1994. http://hdl.handle.net/1850/12200.

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25

Gonzalez-Casanova, H. Pedro. "The recovery of smooth multivariate functions from discrete data distributions." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236264.

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26

Loehr, Nicholas Anthony. "Multivariate analogues of Catalan numbers, parking functions, and their extensions /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2003. http://wwwlib.umi.com/cr/ucsd/fullcit?p3091333.

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27

Liu, Hao. "Semiparametric marginal mean models for multivariate counting processes /." Thesis, Connect to this title online; UW restricted, 2004. http://hdl.handle.net/1773/9542.

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28

Nisa, Khoirin. "On multivariate dispersion analysis." Thesis, Besançon, 2016. http://www.theses.fr/2016BESA2025.

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Cette thèse examine la dispersion multivariée des modelés normales stables Tweedie. Trois estimateurs de fonction variance généralisée sont discutés. Ensuite dans le cadre de la famille exponentielle naturelle deux caractérisations du modèle normal-Poisson, qui est un cas particulier de modèles normales stables Tweedie avec composante discrète, sont indiquées : d'abord par fonction variance et ensuite par fonction variance généralisée. Le dernier fournit la solution à un problème particulier d'équation de Monge-Ampère. Enfin, pour illustrer l'application de la variance généralisée des modèles

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29

Ng, Bernard. "Prior-informed multivariate models for functional magnetic resonance imaging." Thesis, University of British Columbia, 2011. http://hdl.handle.net/2429/37483.

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Neurological diseases constitute the leading disease burden worldwide. Existing symptom-based diagnostic methods are often insufficient to detect many of these diseases in their early stages. Recent advances in neuroimaging technologies have enabled non-invasive examination of the brain, which facilitates localization of disease-induced effects directly at the source. In particular, functional magnetic resonance imaging (fMRI) has become one of the dominant means for studying brain activity in healthy and diseased subjects. However, the low signal-to-noise ratio, the typical small sample size,

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30

Sheppard, Therese. "Extending covariance structure analysis for multivariate and functional data." Thesis, University of Manchester, 2010. https://www.research.manchester.ac.uk/portal/en/theses/extending-covariance-structure-analysis-for-multivariate-and-functional-data(e2ad7f12-3783-48cf-b83c-0ca26ef77633).html.

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For multivariate data, when testing homogeneity of covariance matrices arising from two or more groups, Bartlett's (1937) modified likelihood ratio test statistic is appropriate to use under the null hypothesis of equal covariance matrices where the null distribution of the test statistic is based on the restrictive assumption of normality. Zhang and Boos (1992) provide a pooled bootstrap approach when the data cannot be assumed to be normally distributed. We give three alternative bootstrap techniques to testing homogeneity of covariance matrices when it is both inappropriate to pool the data

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31

Agniel, Denis Madison. "Statistical Methods for Multivariate and Complex Phenotypes." Thesis, Harvard University, 2014. http://nrs.harvard.edu/urn-3:HUL.InstRepos:13070048.

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Many important scientific questions can not be studied properly using a single measurement as a response. For example, many phenotypes of interest in recent clinical research may be difficult to characterize due to their inherent complexity. It may be difficult to determine the presence or absence of disease based on a single measurement, or even a few measurements, or the phenotype may only be defined based on a series of symptoms. Similarly, a set of related phenotypes or measurements may be studied together in order to detect a shared etiology. In this work, we propose methods for studying

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32

Amezziane, Mohamed. "SMOOTHING PARAMETER SELECTION IN NONPARAMETRIC FUNCTIONAL ESTIMATION." Doctoral diss., University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3488.

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This study intends to build up new techniques for how to obtain completely data-driven choices of the smoothing parameter in functional estimation, within the confines of minimal assumptions. The focus of the study will be within the framework of the estimation of the distribution function, the density function and their multivariable extensions along with some of their functionals such as the location and the integrated squared derivatives.<br>Ph.D.<br>Department of Mathematics<br>Arts and Sciences<br>Mathematics

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33

Acosta, Sandra Antonieta. "Multivariate Anti-inflammatory Approaches to Rescue Neurogenesis and Cognitive function in Aged Animals." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3712.

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Studies have shown that there is a strong correlation between aging and neurodegenerative diseases. Aging is considered the number one risk factor to develop neuropathologies such as memory loss, senile dementia, Alzheimer's disease (AD), and Parkinson's disease. Neurodegenerative diseases tend to start during adulthood, and aggravate over time, making them difficult to prevent and to treat. In the Unites States, demographic studies by U.S. Bureau of the Census have determined that our aging population of >65 years is expected to increase from the present 35 million to 78 million in 2030. This

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34

Cannon, Paul C. "Extending the information partition function : modeling interaction effects in highly multivariate, discrete data /." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2263.pdf.

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35

Cannon, Paul C. "Extending the Information Partition Function: Modeling Interaction Effects in Highly Multivariate, Discrete Data." BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/1234.

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Because of the huge amounts of data made available by the technology boom in the late twentieth century, new methods are required to turn data into usable information. Much of this data is categorical in nature, which makes estimation difficult in highly multivariate settings. In this thesis we review various multivariate statistical methods, discuss various statistical methods of natural language processing (NLP), and discuss a general class of models described by Erosheva (2002) called generalized mixed membership models. We then propose extensions of the information partition function (IPF)

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36

Doolan, Mark Bernard. "Evaluating multivariate volatility forecasts : how effective are statistical and economic loss functions?" Thesis, Queensland University of Technology, 2011. https://eprints.qut.edu.au/45750/1/Mark_Doolan_Thesis.pdf.

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Multivariate volatility forecasts are an important input in many financial applications, in particular portfolio optimisation problems. Given the number of models available and the range of loss functions to discriminate between them, it is obvious that selecting the optimal forecasting model is challenging. The aim of this thesis is to thoroughly investigate how effective many commonly used statistical (MSE and QLIKE) and economic (portfolio variance and portfolio utility) loss functions are at discriminating between competing multivariate volatility forecasts. An analytical investigation of

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37

Wang, Qi. "Multivariate group analyses for functional neuroimaging : conceptual and experimental advances." Thesis, Ecole centrale de Marseille, 2020. http://www.theses.fr/2020ECDM0002.

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Dans les expériences de neuroimagerie fonctionnelle, les participants effectuent un ensemble de tâches pendant que leur activité cérébrale est enregistrée, par exemple en utilisant l’électroencéphalographie (EEG), la magnétoencéphalographie (MEG) ou l'imagerie par résonance magnétique fonctionnelle (fMRI). L'analyse des données d'un groupe de participants, souvent appelée analyse de groupe, vise à identifier des invariants de population qui se rapportent aux tâches accomplies par les participants. Ceci permet de comprendre l'organisation fonctionnelle du cerveau chez les sujets sains et ses dy

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38

Byrenheid, Glenn [Verfasser]. "Sparse representation of multivariate functions based on discrete point evaluations / Glenn Byrenheid." Bonn : Universitäts- und Landesbibliothek Bonn, 2019. http://d-nb.info/1177881659/34.

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39

Baurne, Yvette. "Nonparametric Combination Methodology : A Better Way to Handle Composite Endpoints?" Thesis, Uppsala universitet, Statistiska institutionen, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-274959.

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Composite endpoints are widely used in clinical trials. The outcome of a clinical trial can affect many individuals and it is therefore of importance that the methods used are as effective and correct as possible. Improvements of the standard method of testing composite endpoints have been proposed and in this thesis, the alternative method using nonparametric combination methodology is compared to the standard method. Performing a simulation study, the power of three combining functions (Fisher, Tippett and the Logistic) are compared to the power of the standard method. The performances of th

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40

GAMMOH, DIALA. "ENTERPRISE BUSINESS ALIGNMENT USING QUALITY FUNCTION DEPLOYMENT, MULTIVARIATE DATA ANALYSIS AND BUSINESS MODELING TOOLS." Doctoral diss., University of Central Florida, 2010. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3012.

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This dissertation proposes two novel ideas to enhance the business strategy alignment to customer needs. The proposed business alignment clock is a new illustration to the relationships between customer requirements, business strategies, capabilities and processes. To line up the clock and reach the needed alignment for the enterprise, a proposed clock mechanism is introduced. The mechanism integrates the Enterprise Business Architecture (EBA) with the House of Quality (HoQ). The relationship matrix inside the body of the house is defined using multivariate data analysis techniques to accurate

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41

Zocher, Mathias. "Multivariate Mixed Poisson Processes." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2005. http://nbn-resolving.de/urn:nbn:de:swb:14-1134744627176-09576.

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Multivariate mixed Poisson processes are special multivariate counting processes whose coordinates are, in general, dependent. The first part of this thesis is devoted to properties which multivariate counting processes may possess. Such properties are, for example, the Markov property, the multinomial property and regularity. With regard to regularity we study the properties of transition probabilities and intensities. The second part of this thesis restricts the class of all multivariate counting processes by additional assumptions leading to different types of multivariate mixed Poisson pro

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42

Maumet, Camille. "From group to patient-specific analysis of brain function in arterial spin labelling and BOLD functional MRI." Phd thesis, Université Rennes 1, 2013. http://tel.archives-ouvertes.fr/tel-00863908.

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This thesis deals with the analysis of brain function in Magnetic Resonance Imaging (MRI) using two sequences: BOLD functional MRI (fMRI) and Arterial Spin Labelling (ASL). In this context, group statistical analyses are of great importance in order to understand the general mechanisms underlying a pathology, but there is also an increasing interest towards patient-specific analyses that draw conclusions at the patient level. Both group and patient-specific analyses are studied in this thesis. We first introduce a group analysis in BOLD fMRI for the study of specific language impairment, a pat

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JUNIOR, HAROLD DIAS DE MELLO. "NONCONVEX FUNCTIONS OPTIMIZATION USING AN ESTIMATION OF DISTRIBUTION ALGORITHM BASED ON MULTIVARIATE COPULAS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2014. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=25614@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Algoritmos de estimação de distribuição (EDAs – Estimation of Distribution Algorithms) são uma classe de algoritmos evolutivos capazes de extrair e utilizar conhecimento ao longo do processo de busca. O passo mais importante e um gargalo, que estabelece diferenciação entre esses algoritmos, é a estimação da distribuição de probabilidade conjunta das soluções mais promissoras determinadas pela função de avaliação. Recentemente, uma nova abordagem baseada em teoria das cópulas f

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Silva, Paulo Henrique Ferreira da. "Multivariate Copula-based SUR Tobit Models : a modified inference function for margins and interval estimation." Universidade Federal de São Carlos, 2015. https://repositorio.ufscar.br/handle/ufscar/7226.

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Submitted by Daniele Amaral (daniee_ni@hotmail.com) on 2016-09-14T18:49:08Z No. of bitstreams: 1 TesePHFS.pdf: 1284969 bytes, checksum: 4ebcbf7e8a84023d87dab3c54c19f103 (MD5)<br>Approved for entry into archive by Marina Freitas (marinapf@ufscar.br) on 2016-09-16T19:48:17Z (GMT) No. of bitstreams: 1 TesePHFS.pdf: 1284969 bytes, checksum: 4ebcbf7e8a84023d87dab3c54c19f103 (MD5)<br>Approved for entry into archive by Marina Freitas (marinapf@ufscar.br) on 2016-09-16T19:48:23Z (GMT) No. of bitstreams: 1 TesePHFS.pdf: 1284969 bytes, checksum: 4ebcbf7e8a84023d87dab3c54c19f103 (MD5)<br>Made availab

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45

McRae, Kateri Lynne. "Functional and Effective Connectivity of Effortful Emotion Regulation." Diss., The University of Arizona, 2007. http://hdl.handle.net/10150/194032.

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Emotion regulation plays an important role in emotional well-being, as well as in the protection against and recovery from mood and anxiety disorders. Previous studies of the functional neuroanatomy of emotion regulation have reported greater activity in prefrontal control-related regions during active regulation. These activations are accompanied by decreases in activity in emotion-responsive regions such as the amygdala and insula. These findings are widely interpreted as consistent with models of cognitive control that implicate top-down, negative influences from prefrontal cortex upon emot

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46

Nilsson, Kjell-Åke. "Detecting post-operative change in gait function using principal component analysis in subjects with cerebral palsy." Thesis, Jönköping University, HHJ, Dep. of Rehabilitation, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-6915.

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47

Zhang, Wen 1978. "Functional data analysis for detecting structural boundaries of cortical area." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=98531.

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It is widely accepted that the cortex can be divided into a series of spatially discrete areas based on their specific laminar patterns. It is of great interest to divide the cortex into different areas in terms of both neuronal functions and cellular composition. The division of cortical areas can be reflected by the cell arrangements or cellular composition. Therefore, the cortical structure can be represented by some functional neuronal density data. Techniques on functional data analysis help to develop some measures which indicate structural changes.<br>In order to separate roughness from

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48

Demel, Samuel Seth. "Modeling and computations of multivariate datasets in space and time." Diss., Kansas State University, 2013. http://hdl.handle.net/2097/15578.

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Doctor of Philosophy<br>Department of Statistics<br>Juan Du<br>Spatio-temporal and/or multivariate dependence naturally occur in datasets obtained in various disciplines; such as atmospheric sciences, meteorology, engineering and agriculture. There is a great deal of need to effectively model the complex dependence and correlated structure exhibited in these datasets. For this purpose, this dissertation studies methods and application of the spatio-temporal modeling and multivariate computation. First, a collection of spatio-temporal functions is proposed to model spatio-temporal processes wh

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Luo, Zuhua. "Multivariate hermite interpolation in Euclidean space and its unit sphere by radial basis functions." Thesis, University of Leicester, 1998. http://hdl.handle.net/2381/30539.

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In this thesis, we consider radial basis function interpolations in d-dimensional Euclidean space Hd and the unit sphere 5d_1, where the data is generated not only by point-evaluations, but also by the derivatives, or differential/pseudo-differential operators. Some sufficient and necessary conditions for the well-posedness of the interpolations are given. The results on sensitivity and sta bility of the interpolation systems are obtained. The optimal properties of the interpolants are analysed through the variational framework and reproducing kernel Hilbert space property, the error bounds an

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Fitzgerald-DeHoog, Lindsay M. "Multivariate analysis of proteomic data| Functional group analysis using a global test." Thesis, California State University, Long Beach, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=1602759.

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<p> Proteomics is a relatively new discipline being implemented in life science fields. Proteomics allows a whole-systems approach to discerning changes in organismal physiology due to physical perturbations. The advantages of a proteomic approach may be counteracted by the ability to analyze the data in a meaningful way due to inherent problems with statistical assumptions. Furthermore, analyzing significant protein volume differences among treatment groups often requires analysis of numerous proteins even when limiting analyses to a particular protein type or physiological pathway. Improper

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