Journal of Statistical Theory and Applications

Volume 14, Issue 1, March 2015, Pages 1 - 12

Concomitants of Dual Generalized Order Statistics from Morgenstern Type Bivariate Generalized Exponential Distribution

Authors
Saeid Tahmasebi, Ali Akbar Jafari, Mahmoud Afshari
Corresponding Author
Saeid Tahmasebi
Received 14 December 2012, Accepted 6 October 2014, Available Online 31 March 2015.
DOI
https://doi.org/10.2991/jsta.2015.14.1.1How to use a DOI?
Keywords
Concomitant; Dual generalized order statistics; Generalized exponential distribution; Record values
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.
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
14 - 1
Pages
1 - 12
Publication Date
2015/03
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2015.14.1.1How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Saeid Tahmasebi
AU  - Ali Akbar Jafari
AU  - Mahmoud Afshari
PY  - 2015
DA  - 2015/03
TI  - Concomitants of Dual Generalized Order Statistics from Morgenstern Type Bivariate Generalized Exponential Distribution
JO  - Journal of Statistical Theory and Applications
SP  - 1
EP  - 12
VL  - 14
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2015.14.1.1
DO  - https://doi.org/10.2991/jsta.2015.14.1.1
ID  - Tahmasebi2015
ER  -