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On Stochastic Comparisons of Concomitants of Generalized Order Statistics |
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PP: 1287-1300 |
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doi:10.18576/jsap/120333
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Author(s) |
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Mohamed Abdurrahim,
Sohair K. Khamis,
Nahed A. Mokhlis,
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Abstract |
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| In this article, the problem of comparing concomitants of generalized order statistics (GOSs) in terms of different types of stochastic orders is considered. Some stochastic ordering results for compound random variables in the one-sample problems are recalled and extended. Analogous results are obtained in the two-sample setup. The derived results are used to compare concomitants of GOSs in both one-sample problems and two-sample problems. We also introduce some new joint stochastic orders (namely, the joint reversed hazard order and the joint convex order) and compare concomitants in terms of these orders.
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