Date Available
11-13-2019
Year of Publication
2019
Degree Name
Doctor of Philosophy (PhD)
Document Type
Doctoral Dissertation
College
Arts and Sciences
Department/School/Program
Statistics
First Advisor
Dr. Derek Young
Second Advisor
Dr. Richard Kryscio
Abstract
A practical problem often encountered with observed count data is the presence of excess zeros. Zero-inflation in count data can easily be handled by zero-inflated models, which is a two-component mixture of a point mass at zero and a discrete distribution for the count data. In the presence of predictors, zero-inflated Poisson (ZIP) regression models are, perhaps, the most commonly used. However, the fully parametric ZIP regression model could sometimes be restrictive, especially with respect to the mixing proportions. Taking inspiration from some of the recent literature on semiparametric mixtures of regressions models for flexible mixture modeling, we propose a semiparametric ZIP regression model. We present an "EM-like" algorithm for estimation and a summary of asymptotic properties of the estimators. The proposed semiparametric models are then applied to a data set involving clandestine methamphetamine laboratories and Alzheimer's disease.
Digital Object Identifier (DOI)
https://doi.org/10.13023/etd.2019.187
Recommended Citation
Roemmele, Eric S., "A Flexible Zero-Inflated Poisson Regression Model" (2019). Theses and Dissertations--Statistics. 38.
https://uknowledge.uky.edu/statistics_etds/38
