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We introduce a newly developed R package AZIAD for analyzing zero-inflated orzero-altered data. Compared with existing R packages, AZIAD covers a muchlarger class of zero-inflated and hurdle models, including both discrete andcontinuous cases. It provides more accurate parameter estimates, along with thecorresponding Fisher information matrix and confidence intervals. It achievessignificantly larger power for model identification and selection. Tofacilitate the potential users, in this paper we provide detailed formulae andtheoretical justifications for AZIAD, as well as new theoretical results onzero-inflated and zero-altered models. We use simulation studies to show theadvantages of AZIAD functions over existing R packages and provide real dataexamples and executable R code to illustrate how to use our package for sparsedata analysis and model selection.

An R Package AZIAD for Analyzing Zero-Inflated and Zero-Altered Data