Open AccessOn concomitants of ordered random variables under general forms of Morgenstern family
Author(s) -
Mohamed Mohamed Said
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1909771m
Subject(s) - mathematics , extension (predicate logic) , entropy (arrow of time) , dual (grammatical number) , random variable , order statistic , divergence (linguistics) , combinatorics , mathematical economics , pure mathematics , statistics , art , physics , literature , quantum mechanics , computer science , programming language , linguistics , philosophy
Based on the extensions of Morgenstern family (Huang and Bairamov extensions), the concomitants of different types of generalized order statistics (gos) and dual generalized order statistics (dgos) are obtained. Moreover, a unified approach to such models is derived. Information properties such as Shannon entropy and Kullback-Leibler divergence for Huang and Kotz extension are obtained.