Concomitants of Dual Generalized Order Statistics from Morgenstern Type Bivariate Generalized Exponential Distribution, By Saeid Tahmasebi

Research

Title	Concomitants of Dual Generalized Order Statistics from Morgenstern Type Bivariate Generalized Exponential Distribution
Type	Article
Keywords	Concomitant; Dual generalized order statistics; Generalized exponential distribution; Record values
Journal	JOURNAL OF STATISTICAL THEORY AND APPLICATIONS
DOI	https://doi.org/10.2991/jsta.2015.14.1.1
Researchers	Saeid Tahmasebi (First researcher) , Ali Akbar Jafari (Second researcher) , Mahmoud Afshari (Third researcher)

Abstract

[9] introduced the concept of dual generalized order statistics (dgos) that enables a common approach to descending ordered random variables like reversed order statistics and lower record values. In this paper, we have obtained probability density function (pdf) of r-th, and the joint pdf of r-th and s-th, concomitants of dgos from Morgenstern type bivariate generalized exponential distribution and derived their product moments. Further the results are deduced for moments of k-th lower record values and order statistics. Recurrence relations between moments of concomitants are also obtained. Finally, some properties of joint distributions for concomitants of dgos are presented.