Stochastic Comparisons of Weighted Distributions and Their Mixtures

Entropy

Mohamed Kayid¹  AbdulhakimA. Albabtain¹  Mansour Shrahili¹  MohammedA. Al-Shehri¹ 

[1] Department of Statistics and Operations Research College of Science, King Saud University, 11451 Riyadh, Saudi Arabia;

关键词: stochastic order;    mixture distribution;    hazard rate;    preservation;    coherent systems;    shannon entropy;   

DOI  :  10.3390/e22080843

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown