Stochastic Comparisons of Random Extremes from non-identical Random Variables
Statistics Theory
2024-03-08 v2 Statistics Theory
Abstract
We propose some new results on the comparison of the minimum or maximum order statistic from a random number of non-identical random variables. Under the non-identical set-up, with certain conditions, we prove that random minimum (maximum) of one system dominates the other in hazard rate (reversed hazard rate) order. Further, we prove variation diminishing property (Karlin [8]) for all possible restrictions to derive the new results.
Cite
@article{arxiv.2402.09174,
title = {Stochastic Comparisons of Random Extremes from non-identical Random Variables},
author = {Amarjit Kundu and Shovan Chowdhury and Bidhan Modok},
journal= {arXiv preprint arXiv:2402.09174},
year = {2024}
}
Comments
19 pages, 7 figure