Statistics electronic theses and dissertations (MU)
The items in this collection are the theses and dissertations written by students of the Department of Statistics. Some items may be viewed only by members of the University of Missouri System and/or University of MissouriColumbia. Click on one of the browse buttons above for a complete listing of the works.
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Recent Submissions

Functional data analysis : children's mathematical development
(University of MissouriColumbia, 2016)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Bailey et al. (2014) suggested that children's mathematical development is related more to trait characteristics than to prior mathematical development. ... 
Bayesian analysis of fMRI data and RNASeq Time Course experiment data
(University of MissouriColumbia, 2015)The present dissertation contains two parts. In the first part, we develop a new Bayesian analysis of functional MRI data. We propose a novel triple gamma Hemodynamic Response Function (HRF) including the component to ... 
Semiparametric analysis of failure time data with complex structures
(University of MissouriColumbia, 2016)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Failure time data arise in many fields including biomedical studies and industrial life testing. Rightcensored failure time data are often observed ... 
Nonlocal priors for Bayesian variable selection in generalized linear models and generalized linear mixed models and their applications in biology data
(University of MissouriColumbia, 2016)A crucial problem in building a generalized linear model (GLM) or a generalized linear mixed model (GLMM) is to identify which subset of predictors should be included into the model. Hence, the main thrust of this dissertation ... 
Partially informative normal and partial spline models
(University of MissouriColumbia, 2015)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] There is a wellknown Bayesian interpretation of function estimation by spline smoothing using a limit of proper normal priors. This limiting prior has ... 
Bayesian smoothing spline models and their application in estimating yield curves
(University of MissouriColumbia, 2015)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The term structure of interest rates, also called the yield curve, is the series of interest rates ordered by term to maturity at a given time. The ... 
Bayesian hierarchical models for estimating nest survival
(University of MissouriColumbia, 2015)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Nest survival rate is a critical value in avian study to evaluate the landbirds populations. The widely used likelihoodbased logistic regression model ... 
A ballooned betalogistic model
(University of MissouriColumbia, 2015)The beta distribution is a simple and flexible model in which responses are naturally confined to the finite interval (0,1). Its parameters can be related to covariates such as dose and gender through a regression model. ... 
Bayesian hierarchical models for estimating nest survival
(University of MissouriColumbia, 2015)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Nest survival rate is a critical value in avian study to evaluate the landbirds populations. The widely used likelihoodbased logistic regression model ... 
Two sample inference for high dimensional mean with application to gene expression data
(University of MissouriColumbia, 2015)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] 
Bayesian analysis of capturerecapture model and diagnostic test in clinical trials
(University of MissouriColumbia, 2014)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Capturerecapture models have been widely used to estimate the size of a target wildlife population. There are three major sources of variations that ... 
Bayesian analysis for detecting differentially expressed genes from RNAseq data
(University of MissouriColumbia, 2014)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This dissertation introduces hmmSeq, a modelbased hierarchical Bayesian technique for detecting differentially expressed genes from RNAseq data. Our ... 
Statistical Analysis of Bivariate IntervalCensored Failure Time Data
(University of MissouriColumbia, 2015)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Intervalcensored failure time data arise when the failure time of interest in a survival study is not exactly observed but known only to fall within ... 
Model Evaluation and Variable Selection for IntervalCensored Data
(University of MissouriColumbia, 2015)Survival analysis is a popular area of statistics dealing with timetoevent data. A special characteristic of survival data is the presence of censoring. Censoring occurs when the survival time is only partially known. ... 
Random Set Models For Growth With Applications To Nowcasting
(University of MissouriColumbia, 2013)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] We develop models to capture the growth or evolution of objects over time as well as provide forecasts to describe the object in future states utilizing ... 
Flexible Bayesian Hierarchical Models for DiscreteValued SpatioTemporal Data
(University of MissouriColumbia, 2014) 
Equivalence test of high dimensional microarray data
(University of MissouriColumbia, 2014)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] 
Spatiotemporal models with timevarying spatial model error for environmental processes
(University of MissouriColumbia, 2013)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Environmental processes exhibit uncertainty in the spatial and temporal domains. Often, mechanistic forecast models, such as weather forecasting systems, ... 
Bayesian nonlinear methods for survival analysis and structural equation models
([University of MissouriColumbia], 2014)High dimensional data are more common nowadays, because the collection of such data becomes larger and more complex due to the technology advance of the computer science, biology, etc. The analysis of high dimensional data ... 
Semiparametric regression analysis of intervalcensored failure time data
([University of MissouriColumbia], 2014)By intervalcensored data, we mean that the failure time of interest is known only to lie within an interval instead of being observed exactly. Many clinical trials and longitudinal studies may generate intervalcensored ...