• Bayesian analysis of spatial and survival models with applications of computation techniques 

    Liu, Yajun (University of Missouri--Columbia, 2012)
    This dissertation discusses the methodologies of applying Bayesian hierarchical models to different data with geographical characteristics or with right-censored failure time. A conditional autoregressive (CAR) prior is ...
  • Bayesian fMRI data analysis and Bayesian optimal design 

    Sanyal, Nilotpal (University of Missouri--Columbia, 2012)
    The present dissertation consists of the work done on two projects. As part of the first project, we develop methodology for Bayesian hierarchical multi-subject multiscale analysis of functional magnetic resonance imaging ...
  • Bayesian methods on selected topics 

    Liang, Ye (University of Missouri--Columbia, 2012)
    Bayesian methods are widely adopted nowadays in statistical analysis. It is especially useful for the statistical inference of complex models or hierarchical models, for which the frequentist methods are usually difficult ...
  • Estimating population size with objective Bayesian methods 

    Xu, Chang (University of Missouri--Columbia, 2012)
    Bayesian inference of discrete parameter, including population size, is sensitive to the choice of priors. In this dissertation I will develop objective priors for several population size parameters appeared in different ...
  • Marginally modeling misaligned regions and handling masked failure causes with imprecision 

    Schmaltz, Chester Lee (University of Missouri--Columbia, 2012)
    For many datasets, multiple variables measured on (possibly differing) areal units are available. We wish to simultaneously model both 1) the spatial relations within each variable, and 2) the relations between variables. ...
  • Objective Bayesian inference for stress-strength models and Bayesian ANOVA 

    Min, Xiaoyi (University of Missouri--Columbia, 2012)
    First of all, for estimating the reliabilities in Weibull stress-strength models, some matching priors are derived based on a modi ed pro le likelihood. Simulation studies show that these matching priors perform well with ...
  • Regression analysis of clustered interval-censored failure time data 

    Li, Junlong (University of Missouri--Columbia, 2012)
    Clustered failure time data occur when the failure times of interest are clustered into small groups, while interval censoring occurs when the event of interest cannot be observed directly and is only known to have occurred ...