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Research Article | Open Access

Stochastic comparisons of second-order statistics from dependent and heterogeneous modified proportional (reversed) hazard rates scale models

Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China
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Abstract

In this paper, we investigate the problem of stochastically comparing the second-order statistics from dependent and heterogeneous samples following modified proportional hazard rates scale (MPHRS) and modified proportional reversed hazard rates scale (MPRHRS) models under Archimedean copula. We built some sufficient conditions for the usual stochastic order whenever the samples have different parameter vectors. Finally, some numerical examples were provided to illustrate the theoretical results.

Keywords

second-order statisticsMPHRS and MPRHRS modelsarchimedean copulamajorization
CLC number: Primary 90B25, Secondary 60E15, 60K10

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 8904-8919
DOI: 10.3934/math.2024434

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Cite this article:
Lu B. Stochastic comparisons of second-order statistics from dependent and heterogeneous modified proportional (reversed) hazard rates scale models. AIMS Mathematics, 2024, 9(4): 8904-8919. https://doi.org/10.3934/math.2024434

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Received: 02 November 2023
Revised: 21 February 2024
Accepted: 22 February 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)