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Browse Dissertations and Theses  Statistics by Contributor "He, Xuming"
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(20100820)The statistical inference based on the ordinary least squares regression is suboptimal when the distributions are skewed or when the quantity of interest is the upper or lower tail of the distributions. For example, the ...
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(20120201)Bayesian inference provides a flexible way of combiningg data with prior information. However, quantile regression is not equipped with a parametric likelihood, and therefore, Bayesian inference for quantile regression ...
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(20110525)Quantile regression, as a supplement to the mean regression, is often used when a comprehensive relationship between the response variable and the explanatory variables is desired. The traditional frequentists’ approach ...
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(2000)To effectively build a regression model with a large number of covariates is no easy task. We consider using dimension reduction before building a parametric or spline model. The dimension reduction procedure is based on ...
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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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(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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(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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(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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(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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(2005)Linear mixed models based on the normality assumption are widely used in health related studies. Although the normality assumption leads to simple, mathematically tractable, and powerful tests, violation of the assumption ...
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(2004)The reference growth charts are widely used to screen the measurements from an individual subject in the context of population values. The conventional reference growth charts are generated from crosssectional data and ...
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(2007)Longitudinal data are characterized by repeated measures over time on each subject. The generalized estimating equations (GEE) approach (Liang and Zeger, 1996) has been widely used for the analysis of longitudinal data. ...
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(20110825)Longitudinal data arise frequently in many studies where measurements are obtained from a subject repeatedly over time. Consequently, measurements within a subject are correlated. We address two rather important but ...
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(201212)Traditional linear mixed effect models assume the distributions of the random effects and errors follow normal distribution with mean zero and homoscedastic variance sigma square. This thesis presents a new nonparametric ...
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(2006)An algorithm that dynamically incorporates expert opinion in this way has two potential advantages, each improving with the quality of the expert. First, by deemphasizing certain subsets of variables during the estimation ...
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(2005)In this thesis, we consider a family of parametric power transformations for the dependent variable such that a linear or partially linear quantile regression model holds after transformation. The two models being considered ...
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(2008)Key words: Ordinal data; Quantile regression; Nonparametric transformation model; Second Longitudinal Study of Aging.
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(2003)Quantile regression extends the statistical quantities of interest beyond conditional means. The regression has been well developed for linear models but less explored for nonparametric models. In this thesis, we consider ...
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(2009)Keywords. Survival Analysis; Quantile Regression; KaplanMeier; the Cox Proportional Hazards Model; Accelerated Failure Time Model.
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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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Now showing items 120 of 24