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arXiv · 2402.09174

Stochastic Comparisons of Random Extremes from non-identical Random Variables

Amarjit Kundu·Shovan Chowdhury·Bidhan Modok
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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.

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Amarjit Kundu, Shovan Chowdhury, Bidhan Modok. 2024-02-14. Stochastic Comparisons of Random Extremes from non-identical Random Variables. https://arxiv.org/abs/2402.09174

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