Date Available
4-4-2016
Year of Publication
2016
Degree Name
Doctor of Philosophy (PhD)
Document Type
Doctoral Dissertation
College
Arts and Sciences
Department/School/Program
Statistics
First Advisor
Dr. Richard Charnigo
Abstract
In this dissertation, first we consider the problem of testing homogeneity and order in a contaminated normal model, when the data is correlated under some known covariance structure. To address this problem, we developed a moment based homogeneity and order test, and design weights for test statistics to increase power for homogeneity test. We applied our test to microarray about Down’s syndrome. This dissertation also studies a singular Bayesian information criterion (sBIC) for a bivariate hierarchical mixture model with varying weights, and develops a new data dependent information criterion (sFLIC).We apply our model and criteria to birth- weight and gestational age data for the same model, whose purposes are to select model complexity from data.
Digital Object Identifier (DOI)
http://dx.doi.org/10.13023/ETD.2016.042
Recommended Citation
Qi, Meng, "Development in Normal Mixture and Mixture of Experts Modeling" (2016). Theses and Dissertations--Statistics. 15.
https://uknowledge.uky.edu/statistics_etds/15
Included in
Microarrays Commons, Multivariate Analysis Commons, Statistical Methodology Commons, Statistical Models Commons
