Author ORCID Identifier

https://orcid.org/0009-0002-7595-9008

Date Available

12-15-2025

Year of Publication

2023

Document Type

Doctoral Dissertation

Degree Name

Doctor of Philosophy (PhD)

College

Arts and Sciences

Department/School/Program

Statistics

Advisor

Dr. Derek S. Young

Abstract

Count data with excess zeros is common in many fields, such as ecology, healthcare, and insurance. Excess zeros data are often causing the inaccurate fit from the count models. While zero-inflated models have been developing for over two decades, one should also consider a more flexible model that can handle the excess zeros and further over- or under-dispersion. In this talk, we discuss zero-inflated discrete Weibull model and some novel computational contributions. The flexibility and competitiveness of the ZIDW model are illustrated by simulation studies and a real data analysis. We also investigate the performance of the proposed model through simulation studies, visualizations and diagnostics procedures. Finally, the computational tools developed have been included in an R package so that everyone can explore it in the future.

Digital Object Identifier (DOI)

https://doi.org/10.13023/etd.2023/472

Available for download on Monday, December 15, 2025

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