On Stochastic Comparisons of Concomitants of Generalized Order Statistics

Authors

Mohamed Abdurrahim, Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, EgyptFollow
Sohair K. Khamis, Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, EgyptFollow
Nahed A. Mokhlis, Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120333

Recommended Citation

Abdurrahim, Mohamed; K. Khamis, Sohair; and A. Mokhlis, Nahed (2023) "On Stochastic Comparisons of Concomitants of Generalized Order Statistics," Journal of Statistics Applications & Probability: Vol. 12: Iss. 3, Article 33.
DOI: http://dx.doi.org/10.18576/jsap/120333
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss3/33