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Browse Dissertations and Theses  Statistics by Title
Now showing items 2140 of 115

(1996)Statistical classification and calibration with highdimensional data are studied. We have proposed new classification and calibration procedures for highdimensional data and have established dimensional consistency for ...
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(2000)In the logistic item response theory models, the number of parameters tends to infinity together with the sample size. Thus, there has been a longstanding question of whether the joint maximum likelihood estimates for these ...
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(20120627)For my thesis, I have worked on two projects: modeling parasite dynamics (Chapter 2) and complementary dimensionality analysis (Chapter 3). In the first project, we study a longitudinal data of infection with the parasite ...
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(2009)Microarray is a high throughput technology to measure the gene expression. Analysis of microarray data brings many interesting and challenging problems. This thesis consists three studies related to microarray data. First, ...
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(1989)The theory of statistical breakdown is studied from two different angles. Firstly, the finite sample breakdown points of estimators are found to be inherently related to their tail performances. This connection provides ...
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(1990)Probability density functions are estimated by the method of maximum likelihood in sequences of regular exponential families. The approximation families of logdensities that we consider are polynomials, splines, and ...
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(1992)As computer experiments are widely used in engineering and various other fields of science and technology, stochastic modeling and statistical analysis have been introduced to handle their outputs. Since in certain computer ...
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(2009)Finally, a robust extension of the dimensionality tests is discussed, and a real example is used to demonstrate the merit of the robust alternative.
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(1997)The joint consistency of item and ability parameter estimation remains a challenging problem in IRT parametric modeling. Although many simulation studies have been conducted on the item and ability parameter estimates ...
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(20120918)The state space model has been widely used in various fields including economics, finance, bioinformatics, oceanography, and tomography. The goal of the filtering problem is to find the posterior distribution of the hidden ...
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(1995)The ordinary least squares (OLS) method is known to be efficient for linear models when the errors are homogeneous with Gaussian distributions, but troublesome with heteroscedastic or nonGaussian errors. For the latter ...
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(2003)The Markov chain marginal bootstrap (MCMB) is a new bootstrap method proposed by He and Hu (2002) for constructing confidence intervals or regions based on likelihood equations. It is designed to ease the computational ...
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(2004)Improved estimates of a survey population parameter can be obtained by using information about corelated auxiliary variable. There is a huge literature on such methods for estimating the mean. Here we explore some ...
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(20120627)Tissue classification and feature selection have been increasing studied during the last two decades, however the available methods are still limited and need improvement. In this manuscript, we develop tissue classification ...
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(1986)This thesis is devoted to constructing tests of hypotheses that dominate a given test which violates certain conditions such as convexity or monotonicity. Many authors, for example, Birnbaum (1955), Matthes and Truax (1967), ...
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(20140916)In this thesis we develop inferential methods for time series models with weakly dependent errors in the following three aspects. The first aspect concerns the issue of the sizedistortion in the presence of strong ...
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(2006)The proposed test is motivated by studies of GeneChip data to identify differentially expressed genes through the analysis of probe level measurements. Realizing that the number of replicates is usually small in GeneChip ...
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(1990)Dimension reduction techniques are important in the problem of regression and prediction when the nominal number of predicting variables is greater than the number of observations. Two methods, principal components analysis ...
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Now showing items 2140 of 115