标题： 零膨胀和过离散的检验 显示英文标题

标题： Tests for zero-inflation and overdispersion

摘要： 我们提出了一种基于凸序分布的样本极值比较的新方法，用于检测零膨胀和过离势。 该方法非常灵活，包括针对零膨胀模型中结构零比例的检验，区分两个有序参数族的检验以及一种新的泛化检验来检测过离势。 通过一些模拟研究评估了所提出的检验的功效。 对于著名的胎儿羊数据，我们得出结论：应拒绝零膨胀泊松模型而选择其他更分散的模型，但不能拒绝负二项模型。 显示英文摘要

摘要： We propose a new methodology to detect zero-inflation and overdispersion based on the comparison of the expected sample extremes among convexly ordered distributions. The method is very flexible and includes tests for the proportion of structural zeros in zero-inflated models, tests to distinguish between two ordered parametric families and a new general test to detect overdispersion. The performance of the proposed tests is evaluated via some simulation studies. For the well-known fetal lamb data, we conclude that the zero-inflated Poisson model should be rejected against other more disperse models, but we cannot reject the negative binomial model.