Journal
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
Volume -, Issue -, Pages -Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00949655.2023.2207020
Keywords
Kolmogorov-Smirnov (KS) test; zero-inflated model; hurdle model; model selection; Fisher information matrix
Funding
- U.S. National Science Foundation (NSF) [DMS-1924859]
- CSUSB research fellowship
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AZIAD is a newly developed R package for analyzing zero-inflated or zero-altered data, covering a larger class of models with more accurate parameter estimates and greater power for model identification and selection.
We introduce a newly developed R package AZIAD for analysing zero-inflated or zero-altered data. Compared with existing R packages, AZIAD covers a much larger class of zero-inflated and hurdle models, including both discrete and continuous cases. It provides more accurate parameter estimates, along with the corresponding Fisher information matrix and confidence intervals. It achieves significantly larger power for model identification and selection. To facilitate the potential users, in this paper we provide detailed formulae and theoretical justifications for AZIAD, as well as new theoretical results on zero-inflated and zero-altered models. We use simulation studies to show the advantages of AZIAD functions over existing R packages and provide real data examples and executable R code to illustrate how to use our package for sparse data analysis and model selection.
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