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Bibliographic Details
Main Authors: Kundu, Amarjit, Chowdhury, Shovan, Modok, Bidhan
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2402.09174
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Table of Contents:
  • 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.