Date Available
12-14-2014
Year of Publication
2014
Degree Name
Doctor of Philosophy (PhD)
Document Type
Doctoral Dissertation
College
Arts and Sciences
Department/School/Program
Statistics
First Advisor
Dr. Richard J. Charnigo, Jr
Abstract
This paper intend to find the proper hypothesis and test statistic for testing existence of bilaterally contamination when there exists nuisance parameter. The test statistic is based on method of moments estimators. Union-Intersection test is used for testing if the distribution of population can be implemented by a bilaterally contaminated normal model with unknown variance. This paper also developed a hierarchical normal mixture model (HNM) and applied it to birth weight data. EM algorithm is employed for parameter estimation and a singular Bayesian information criterion (sBIC) is applied to choose the number components. We also proposed a singular flexible information criterion which in addition involves a data-driven penalty.
Recommended Citation
Fan, Qian, "NORMAL MIXTURE AND CONTAMINATED MODEL WITH NUISANCE PARAMETER AND APPLICATIONS" (2014). Theses and Dissertations--Statistics. 9.
https://uknowledge.uky.edu/statistics_etds/9
Included in
Microarrays Commons, Multivariate Analysis Commons, Statistical Methodology Commons, Statistical Models Commons
