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Browse Dissertations and Theses  Statistics by Title
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(1999)The remainder of my thesis studies multivariate symmetry. Several wellstudied parametric and nonparametric tests for univariate symmetry are extended to multivariate settings. We study the asymptotic distributions of these ...
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(1991)Recursive methods for solving the nonparametric regression problem in the GLIMs and computing the Best Linear Unbiased Predictors are discussed here. An iterated state space algorithm is introduced to compute the generalized ...
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(1996)The topics of this thesis stem from two EPA/NISS (Environmental Protection Agency/National Institute of Statistical Sciences) projects, which require the use of available data to make risk assessment, estimate uncertainty ...
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(2005)The wellknown "curse of dimensionality" makes highdimensional data analysis unusually challenging. Dimension reduction plays a valuable role in enabling certain statistical analyses performed in a parsimonious way. The ...
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(20100831)Data do not always obey the normality assumption, and outliers can have dramatic impacts on the quality of the least squares methods. We use Huber's loss function in developing robust methods for timecourse multivariate ...
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Sampling for conditional inference on contingency tables, multigraphs, and high dimensional tables (20160708)We propose new sequential importance sampling methods for sampling contingency tables with fixed margins, loopless, undirected multigraphs, and highdimensional tables. In each case, the proposals for the method are ...
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(20170606)Monte Carlo methods provide tools to conduct statistical inference on models that are difficult or impossible to compute analytically and are widely used in many areas of statistical applications, such as bioinformatics ...
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(20160714)The innovation of modern technologies drives research and development on highdimensional data analysis in diverse fields, where variable selection plays a pivotal role to ensure credible model estimation. We focus on ...
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(20180328)Learning sparsity pattern in high dimension is a great challenge in both implementation and theory. In this thesis we develop scalable Bayesian algorithms based on EM algorithm and variational inference to learn sparsity ...
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(20100831)Semiparametric and nonparametric modeling and inference have been widely studied during the last two decades. In this manuscript, we do statistical inference based on semiparametric and nonparametric models in several ...
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(1995)We propose a fully sequential procedure for constructing a fixed width confidence band for an unknown density on a finite interval and show the procedure has the desired coverage probability asymptotically as the width of ...
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(1987)In this thesis we study sequential procedures for constructing onesided and bounded sequential confidence sets with $\beta$protection and coverage probability at least 1 $$ $\alpha$ for the mean of a distribution in the ...
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(1987)We consider a class of invariant sequential procedures for constructing onesided and twosided confidence sets for a parameter $\gamma$ in R$\sp{k}$, with the property that they have a coverage probability at least 1  ...
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(1990)Suppose that $X\sb1,X\sb2,\cdots$ are independent observations from a distribution F, and that one wishes to estimate the $p\sp{\rm th}$ quantile $\xi\sb{p}(0 0).$ If $f(\xi\sb{p})$ is known, one may use the best fixed ...
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(20170421)Elearning assessments are becoming a common educational medium to instruct finegrained skills in modern pedagogy. To accentuate the advantages of elearning assessments, it is vital to automate the process of instruction ...
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(1981)The thesis first describes how sufficiency and invariance considerations can be applied in problems of confidence set estimation to reduce the class of set estimators under investigation. Let X be a random variables taking ...
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(1996)The first part of this thesis, Chapter 2 through Chapter 4, explores procedures for assessing latent test dimensionality. In Chapter 2, the structure and theoretical properties of conditional item pair covariances given a ...
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(1996)The issues studied in this thesis are: the assumption of local independence (LI) in item response theory (IRT) models in the first three chapters, and differential item functioning (DIF) in IRT in the last chapter. A new ...
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Now showing items 7998 of 134