Ordering results for the smallest (largest) and the second smallest (second largest) order statistics of dependent and heterogeneous random variables

Shojaee, Omid; Mohammadi, Morteza; Momeni, Reza

doi:10.1007/s00184-023-00917-1

Metrika

2023

DOI: 10.1007/s00184-023-00917-1

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Ordering results for the smallest (largest) and the second smallest (second largest) order statistics of dependent and heterogeneous random variables

Omid Shojaee

Morteza Mohammadi

Reza Momeni

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2024

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Cited by 1 publication

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

2024

MATH

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<abstract><p>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.</p></abstract>

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

2024

MATH

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Ordering results for the smallest (largest) and the second smallest (second largest) order statistics of dependent and heterogeneous random variables

Cited by 1 publication

References 33 publications

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

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

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