加权分布及其混合的随机比较

Stochastic Comparisons of Weighted Distributions and Their Mixtures.

作者信息

Albabtain Abdulhakim A, Shrahili Mansour, Al-Shehri M A, Kayid M

机构信息

Department of Statistics and Operations Research College of Science, King Saud University, Riyadh 11451, Saudi Arabia.

Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez 14028, Egypt.

出版信息

Entropy (Basel). 2020 Jul 30;22(8):843. doi: 10.3390/e22080843.

DOI:10.3390/e22080843

PMID:33286614

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7517442/

Abstract

In this paper, various stochastic ordering properties of a parametric family of weighted distributions and the associated mixture model are developed. The effect of stochastic variation of the output random variable with respect to the parameter and/or the underlying random variable is specifically investigated. Special weighted distributions are considered to scrutinize the consistency as well as the usefulness of the results. Stochastic comparisons of coherent systems made of identical but dependent components are made and also a result for comparison of Shannon entropies of weighted distributions is developed.

摘要

本文研究了加权分布的参数族和相关混合模型的各种随机序性质。具体研究了输出随机变量相对于参数和/或基础随机变量的随机变化的影响。考虑了特殊的加权分布，以检验结果的一致性和实用性。对由相同但相关的组件组成的相干系统进行了随机比较，并得出了加权分布的香农熵比较的结果。