Ordering properties of the smallest order statistic from Weibull G random variables
Statistics Theory
2019-03-19 v1 Statistics Theory
Abstract
In this paper we compare the minimums of two heterogeneous samples each following Weibull-G distribution under three scenarios. In the Fifirst scenario, the units of the samples are assumed to be independently distributed and the comparisons are carried out through vector majorization. The minimums of the samples are compared in the second scenario when the independent units of the samples also experience random shocks. The last scenario describes the comparison when the units have a dependent structure sharing Archimedean copula.
Keywords
Cite
@article{arxiv.1903.06931,
title = {Ordering properties of the smallest order statistic from Weibull G random variables},
author = {Shovan Chowdhury and Amarjit Kundu and Surja Kanta Mishra},
journal= {arXiv preprint arXiv:1903.06931},
year = {2019}
}