Stochastic Comparisons of Random Extremes from non-identical Random Variables
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913256533131264 |
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| author | Kundu, Amarjit Chowdhury, Shovan Modok, Bidhan |
| author_facet | Kundu, Amarjit Chowdhury, Shovan Modok, Bidhan |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09174 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic Comparisons of Random Extremes from non-identical Random Variables Kundu, Amarjit Chowdhury, Shovan Modok, Bidhan Statistics Theory 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. |
| title | Stochastic Comparisons of Random Extremes from non-identical Random Variables |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2402.09174 |