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Dissertations / Theses on the topic 'Statistical Symmetries'

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Published: 3 June 2025

Last updated: 31 July 2025

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1

Gustafson, Helen May. "Statistical analysis of symmetric ciphers." Thesis, Queensland University of Technology, 1996.

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2

Gehrmann, Helene. "Graphical Gaussian models with symmetries." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:5f69e996-3f8e-4bfa-891f-0e1ec8d0f9fb.

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This thesis is concerned with graphical Gaussian models with equality constraints on the concentration or partial correlation matrix introduced by Højsgaard and Lauritzen (2008) as RCON and RCOR models. The models can be represented by vertex and edge coloured graphs G = (V,ε), where parameters associated with equally coloured vertices or edges are restricted to being identical. In the first part of this thesis we study the problem of estimability of a non-zero model mean μ if the covariance structure Σ is restricted to satisfy the constraints of an RCON or RCOR model but is otherwise unknown.

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3

Yasamin, A. S. "Maximal invariants over symmetric cones." [Bloomington, Ind.] : Indiana University, 2008. 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:3337265.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2008.<br>Title from PDF t.p. (viewed on Jul 28, 2009). Source: Dissertation Abstracts International, Volume: 69-12, Section: B, page: 7597. Adviser: Steen Andersson.

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4

Zhu, Beibei. "Three Essays on Employer Learning and Statistical Discrimination." Diss., Virginia Tech, 2013. http://hdl.handle.net/10919/23168.

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This dissertation consists of three essays studying employer learning and statistical discrimination of young workers in the U.S. labor market. The first chapter outlines the dissertation by discussing the motivations, methods, and research findings.<br /><br />Chapter two develops a framework that nests both symmetric and asymmetric employer learning, and derives testable hypotheses on racial statistical discrimination under different processes of employer learning. Testing the model with data from the NLSY79, we find that employers statistically discriminate against black workers on the basi

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5

Wang, Xing. "Inferences about Parameters of Trivariate Normal Distribution with Missing Data." FIU Digital Commons, 2013. http://digitalcommons.fiu.edu/etd/933.

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Multivariate normal distribution is commonly encountered in any field, a frequent issue is the missing values in practice. The purpose of this research was to estimate the parameters in three-dimensional covariance permutation-symmetric normal distribution with complete data and all possible patterns of incomplete data. In this study, MLE with missing data were derived, and the properties of the MLE as well as the sampling distributions were obtained. A Monte Carlo simulation study was used to evaluate the performance of the considered estimators for both cases when ρ was known and unknown. Al

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6

Kim, Hyunjung. "Unit Root Tests in Panel Data: Weighted Symmetric Estimation and Maximum Likelihood Estimation." NCSU, 2001. http://www.lib.ncsu.edu/theses/available/etd-20010823-091533.

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<p>There has been much interest in testing nonstationarity of panel data in the econometric literature. In the last decade, several tests based on the ordinary least squares and Lagrange multiplier methodhave been developed. In contrast to a unit root test in the univariate case,test statistics in panel data have Gaussian limiting distributions.This dissertation considers weighted symmetric estimation and maximum likelihood estimation in the autoregressive model with individual effects.The asymptotic distributions have been derived as the number of individuals and time periods become large. Th

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7

Niese, Elizabeth M. "Combinatorial Properties of the Hilbert Series of Macdonald Polynomials." Diss., Virginia Tech, 2010. http://hdl.handle.net/10919/26702.

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The original Macdonald polynomials $P_\mu$ form a basis for the vector space of symmetric functions which specializes to several of the common bases such as the monomial, Schur, and elementary bases. There are a number of different types of Macdonald polynomials obtained from the original $P_\mu$ through a combination of algebraic and plethystic transformations one of which is the modified Macdonald polynomial $\widetilde{H}_\mu$. In this dissertation, we study a certain specialization $\widetilde{F}_\mu(q,t)$ which is the coefficient of $x_1x_2 ... x_N$ in $\widetilde{H}_\mu$ and also the Hil

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8

Balci, Sibel. "Pairwise Multiple Comparisons Under Short-tailed Symmetric Distribution." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/3/12608406/index.pdf.

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In this thesis, pairwise multiple comparisons and multiple comparisons with a control are studied when the observations have short-tailed symmetric distributions. Under non-normality, the testing procedure is given and Huber estimators, trimmed mean with winsorized standard deviation, modified maximum likelihood estimators and ordinary sample mean and sample variance used in this procedure are reviewed. Finally, robustness properties of the stated estimators are compared with each other and it is shown that the test based on the modified maximum likelihood estimators has better robustness pr

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9

Hyatt, Matthew. "Quasisymmetric Functions and Permutation Statistics for Coxeter Groups and Wreath Product Groups." Scholarly Repository, 2011. http://scholarlyrepository.miami.edu/oa_dissertations/609.

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Eulerian quasisymmetric functions were introduced by Shareshian and Wachs in order to obtain a q-analog of Euler's exponential generating function formula for the Eulerian polynomials. They are defined via the symmetric group, and applying the stable and nonstable principal specializations yields formulas for joint distributions of permutation statistics. We consider the wreath product of the cyclic group with the symmetric group, also known as the group of colored permutations. We use this group to introduce colored Eulerian quasisymmetric functions, which are a generalization of Eulerian qua

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10

Akdemir, Deniz. "A Class of Multivariate Skew Distributions: Properties and Inferential Issues." Bowling Green, Ohio : Bowling Green State University, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=bgsu1237574643.

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11

Katsaounis, Parthena I. "Equivalence of symmetric factorial designs and characterization and ranking of two-level Split-lot designs." The Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1164176825.

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12

Simpson, Daniel Peter. "Krylov subspace methods for approximating functions of symmetric positive definite matrices with applications to applied statistics and anomalous diffusion." Thesis, Queensland University of Technology, 2008. https://eprints.qut.edu.au/29751/1/Simpson_Final_Thesis.pdf.

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Matrix function approximation is a current focus of worldwide interest and finds application in a variety of areas of applied mathematics and statistics. In this thesis we focus on the approximation of A^(-α/2)b, where A ∈ ℝ^(n×n) is a large, sparse symmetric positive definite matrix and b ∈ ℝ^n is a vector. In particular, we will focus on matrix function techniques for sampling from Gaussian Markov random fields in applied statistics and the solution of fractional-in-space partial differential equations. Gaussian Markov random fields (GMRFs) are multivariate normal random variables charac

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13

Simpson, Daniel Peter. "Krylov subspace methods for approximating functions of symmetric positive definite matrices with applications to applied statistics and anomalous diffusion." Queensland University of Technology, 2008. http://eprints.qut.edu.au/29751/.

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Matrix function approximation is a current focus of worldwide interest and finds application in a variety of areas of applied mathematics and statistics. In this thesis we focus on the approximation of A..=2b, where A 2 Rnn is a large, sparse symmetric positive definite matrix and b 2 Rn is a vector. In particular, we will focus on matrix function techniques for sampling from Gaussian Markov random fields in applied statistics and the solution of fractional-in-space partial differential equations. Gaussian Markov random fields (GMRFs) are multivariate normal random variables characterised by a

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14

Ley, Christophe. "Univariate and multivariate symmetry: statistical inference and distributional aspects." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210029.

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This thesis deals with several statistical and probabilistic aspects of symmetry and asymmetry, both in a univariate and multivariate context, and is divided into three distinct parts.<p><p>The first part, composed of Chapters 1, 2 and 3 of the thesis, solves two conjectures associated with multivariate skew-symmetric distributions. Since the introduction in 1985 by Adelchi Azzalini of the most famous representative of that class of distributions, namely the skew-normal distribution, it is well-known that, in the vicinity of symmetry, the Fisher information matrix is singular and the profile l

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15

Cao, Jennifer Yue. "The performance and robustness of confidence intervals for the median of a symmetric distribution constructed assuming sampling from a Cauchy distribution." Kansas State University, 2012. http://hdl.handle.net/2097/14897.

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Master of Science<br>Department of Statistics<br>Paul Nelson<br>Trimmed means are robust estimators of location for distributions having heavy tails. Theory and simulation indicate that little efficiency is lost under normality when using appropriately trimmed means and that their use with data from distributions with heavy tails can result in improved performance. This report uses the principle of equivariance applied to trimmed means sampled from a Cauchy distribution to form a discrepancy function of the data and parameters whose distribution is free of the unknown median and scale para

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16

Ulgen, Burcin Emre. "Robust Estimation And Hypothesis Testing In Microarray Analysis." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612352/index.pdf.

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Microarray technology allows the simultaneous measurement of thousands of gene expressions simultaneously. As a result of this, many statistical methods emerged for identifying differentially expressed genes. Kerr et al. (2001) proposed analysis of variance (ANOVA) procedure for the analysis of gene expression data. Their estimators are based on the assumption of normality, however the parameter estimates and residuals from this analysis are notably heavier-tailed than normal as they commented. Since non-normality complicates the data analysis and results in inefficient estimators, it is ver

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17

Mahajan, Salil. "CCM3 as applied to an idealized all land zonally symmetric planet, Terra Blanda 3." Texas A&M University, 2004. http://hdl.handle.net/1969.1/1422.

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Community Climate Model 3 (CCM3) is run on an idealized all land zonally symmetric planet (Terra Blanda) with no seasonality, no snow and fixed soil moisture to obtain a stationary time series effectively much longer than conventional runs with geography and seasons. The surface temperature field generated is studied to analyze the spatial and temporal spectra, estimate the length scale and time scale of the model, and test the linearity of response to periodic and steady heat source forcings. The length scale of the model is found to be in the range of 1000-2000 km and the time scale is estim

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18

Cetinyurek, Aysun. "Robust Control Charts." Master's thesis, METU, 2007. http://etd.lib.metu.edu.tr/upload/3/12607987/index.pdf.

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ABSTRACT ROBUST CONTROL CHARTS &Ccedil<br>etiny&uuml<br>rek, Aysun M. Sc., Department of Statistics Supervisor: Dr. BariS S&uuml<br>r&uuml<br>c&uuml<br>Co-Supervisor: Assoc. Prof. Dr. Birdal Senoglu December 2006, 82 pages Control charts are one of the most commonly used tools in statistical process control. A prominent feature of the statistical process control is the Shewhart control chart that depends on the assumption of normality. However, violations of underlying normality assumption are common in practice. For this reason, control charts for symmetric distributions for both long- and sh

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19

Legg, Matthew W. "Non-Gaussian and non-homogeneous Poisson models of snapping shrimp noise." Thesis, Curtin University, 2010. http://hdl.handle.net/20.500.11937/839.

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The problem of sonar detection and underwater communication in the presence of impulsive snapping shrimp noise is considered. Non-Gaussian amplitude and nonhomogeneous Poisson temporal statistical models of shrimp noise are investigated from the perspective of a single hydrophone immersed in shallow waters. New statistical models of the noise are devised and used to both challenge the superiority of existing models, and to provide alternative insights into the underlying physical processes.A heuristic amplitude statistical model of snapping shrimp noise is derived from first principles and com

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20

GHIO, Maddalena. "Mean-Field games with absorption and singular controls." Doctoral thesis, Scuola Normale Superiore, 2021. http://hdl.handle.net/11384/108480.

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The first part of the work is devoted to mean-field games with absorption, a class of games that can be viewed as natural limits of symmetric stochastic differential games with a large number of players who, interacting through a mean-field, leave the game as soon as their private states hit a given boundary. In most of the literature on mean-field games, all players stay in the game until the end of the period, while in many applications, especially in economics and finance, it is natural to have a mechanism deciding when a player has to leave. Such a mechanism can be modelled by intro

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21

Shu, Xiaohua. "BLOCK DESIGNS UNDER AUTOCORRELATED ERRORS." Diss., Temple University Libraries, 2011. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/154927.

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Statistics<br>Ph.D.<br>This research work is focused on the balanced and partially balanced incomplete block designs when observations within blocks are correlated. The topic for this dissertation was motivated by a problem in pharmaceutical research, when several treatments are allocated to individuals, and repeated measurements are taken on each individual. In that case, there is correlation among the observations taken on the same individual. Typically, it is reasonable to assume that the observations within individual close to each other are highly correlated than observations that are far

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22

Byande, Paul Mirabeau. "Des structures affines à la géométrie de l'information." Thesis, Montpellier 2, 2010. http://www.theses.fr/2010MON20132.

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Ce mémoire traite des structures affines et de leur rapport à la géométrie de l'information. Nous y introduisons la notion de T-plongement. Il permet de montrer que l'ensemble des structures affines complètes du tore T^2 est une courbe projective de RP^2. En substituant à la contrainte topologique (compacité) une contrainte dynamique (action canonique de Aff_0(1) dans le démi-plan de Poincaré H^2)on démontre que l'ensemble S des structures Aff_0(1)-invariantes dans H^2 est une surface projective connexe dans RP^5 ne contenant aucun point complet. Un de mes résultats remarquables concerne la cl

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23

Karlsson, Emil. "The unweighted mean estimator in a Growth Curve model." Thesis, Linköpings universitet, Matematisk statistik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-131043.

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The field of statistics is becoming increasingly more important as the amount of data in the world grows. This thesis studies the Growth Curve model in multivariate statistics which is a model that is not widely used. One difference compared with the linear model is that the Maximum Likelihood Estimators are more complicated. That makes it more difficult to use and to interpret which may be a reason for its not so widespread use. From this perspective this thesis will compare the traditional mean estimator for the Growth Curve model with the unweighted mean estimator. The unweighted mean estim

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24

Graciani, Guillaume. "Three-dimensional stochastic interferometry : theory and applications to high-sensitivity optical metrology and light scattering amplification Random dynamic interferometer:cavity amplified speckle spectroscopy using a highly symmetric coherent fieldcreated inside a closed Lambertian optical cavity 3D stochastic interferometry detects picometer dynamics of an optical volume Cavity Amplified Speckle Spectroscopy expands lightscattering methods to transparent or miniature samples Super-resolution provided by the arbitrarily strongsuperlinearity of the blackbody radiation." Thesis, Institut polytechnique de Paris, 2020. http://www.theses.fr/2020IPPAX058.

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La puissance de la métrologie optique nécessite généralement des géométries simples avec un alignement précis et une phase optique bien contrôlée. Dans cette thèse, nous développons plutôt la notion d'interférométrie du chaos, en utilisant un champ optique ayant un désordre géométrique maximal et une phase aléatoire. Nous montrons que la stochasticité conduit à une très grande sensibilité interférométrique et ouvre la possibilité d'un large éventail de nouvelles mesures optiques et d'une nouvelle méthode que nous appelons la Cavity Amplified Speckle Spectroscopy (Spectroscopie de Speckle Ampli

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25

"Symmetries of wave equations of statistical optics." UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN, 2009. http://pqdtopen.proquest.com/#viewpdf?dispub=3337877.

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26

Mitofsky, Andrea M. "Symmetries of wave equations of statistical optics /." 2008. 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:3337877.

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Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.<br>Source: Dissertation Abstracts International, Volume: 69-11, Section: B, page: 7041. Adviser: P. Scott Carney. Includes bibliographical references (leaves 161-165) Available on microfilm from Pro Quest Information and Learning.

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27

Chopra, Aditya. "Modeling and mitigation of interference in wireless receivers with multiple antennae." Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-12-4585.

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Recent wireless communication research faces the challenge of meeting a predicted 1000x increase in demand for wireless Internet data over the next decade. Among the key reasons for such explosive increase in demand include the evolution of Internet as a provider of high-definition video entertainment and two-way video communication, accessed via mobile wireless devices. One way to meet some of this demand is by using multiple antennae at the transmitter and receiver in a wireless device. For example, a system with 4 transmit and 4 receive antennae can provide up to a 4x increase in data thro

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28

Garrido, Garcia Miguel Angel. "Characterization of the Fluctuations in a Symmetric Ensemble of Rank-Based Interacting Particles." Thesis, 2021. https://doi.org/10.7916/d8-azx1-sn93.

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Within the context of rank-based interacting particle systems, we study the fluctuations in a symmetric ensemble around its stable distribution. This system is inspired by the classic Atlas model but represents its opposite pole since both the highest- and lowest-ranked particles will have non-zero drifts. In the first part of the dissertation, we derive a fine asymptotic analysis that includes a Law of Large Numbers. The lack of monotonicity of the ensemble requires that we develop alternative tools to those traditionally used in the analysis of the Atlas model. In the second part of the diss

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29

Döring, Hanna [Verfasser]. "Moderate deviations and Berry-Esseen bounds for random graphs and further symmetric statistics / Hanna Döring." 2010. http://d-nb.info/1007413212/34.

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30

(10712730), Zizhuang Wu. "Non-Fully Symmetric Space-Time Matern-Cauchy Correlation Functions." Thesis, 2021.

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<div>In spatio-temporal data analysis, the problem of non-separable space-time covariance functions is important and hard to deal with. Most of the famous constructions of these covariance functions are fully symmetric, which is inappropriate in many spatiotemporal processes. The Non-Fully Symmetric Space-Time (NFSST) Matern model by Zhang, T. and Zhang, H. (2015) provides a way to construct a non-fully symmetric non-separable space-time correlation function from marginal spatial and temporal Matern correlation functions.</div><div>In this work we use the relationship between the spatial Mater

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