Abstract

Finite mixture (FM) models have found key applications in many fields. Recently, some discussions have been made on comparing finite mixture models. In this paper, we discuss stochastic comparison of two FM models with respect to usual stochastic order when the mixture components have a general family of distributions. This problem has been studied when there is heterogeneity in one parameter (i.e., the distributional parameter), as well as when there is heterogeneity in two parameters (i.e., the distributional parameter and the mixing proportions). The sufficient conditions considered are based on p-larger order and reciprocally majorization order. Several examples have been provided to illustrate the established results.

摘要

有限混合 (FM) 模型已在许多领域找到关键应用。最近，已经对比较有限混合模型进行了一些讨论。在本文中，我们讨论了当混合成分具有一般分布族时，两个 FM 模型相对于通常随机顺序的随机比较。当一个参数（即分布参数）存在异质性时，以及当两个参数（即分布参数和混合比例）存在异质性时，已经研究了这个问题。考虑的充分条件是基于p大阶和倒数主要化阶。已经提供了几个例子来说明确定的结果。