Residual and Past Entropies of Concomitants from Lai And Xie Extensions of Case-II of Generalized Order Statistics and its Dual

Authors

A. Gamal, Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, EgyptFollow
S. M. EL-Arishy, Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, EgyptFollow
L. S. Diab, Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt\\ Department of Mathematics & Statistics, College of Science 323, King Abdullah City for Female Students, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi ArabiaFollow
Mohamed Said Mohamed, Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11341, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this article, we consider a new extensions of Morgenstern family is Lai and Xie extensions and discuss their concomitants for case-II of generalized order statistics and case-II of dual generalized order statistics. Additionally, recurrence relation between moments is found for the recommended models. We have also derived the expression for the joint distribution of concomitants for case-II of generalized order statistics and its dual. The residual and past entropies are shown last.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/jsap/130140

Recommended Citation

Gamal, A.; M. EL-Arishy, S.; S. Diab, L.; and Said Mohamed, Mohamed (2024) "Residual and Past Entropies of Concomitants from Lai And Xie Extensions of Case-II of Generalized Order Statistics and its Dual," Journal of Statistics Applications & Probability: Vol. 13: Iss. 1, Article 40.
DOI: https://dx.doi.org/10.18576/jsap/130140
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol13/iss1/40