We introduce a newly developed R package AZIAD for analyzing 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.

翻译：我们介绍一个新开发的R包AZIAD，用于分析零膨胀或零修正数据。与现有R包相比，AZIAD涵盖更广泛的零膨胀与障碍模型类别，包括离散和连续情形。该包能够提供更精确的参数估计值，以及相应的Fisher信息矩阵和置信区间。它在模型识别与选择方面具有显著更强的统计功效。为方便潜在用户，本文提供了AZIAD的详细公式与理论依据，以及关于零膨胀与零修正模型的新理论结果。我们通过模拟研究展示了AZIAD函数相对于现有R包的优势，并提供了真实数据案例及可执行R代码，以说明如何使用该包进行稀疏数据分析和模型选择。