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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
- 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.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Saeid Tahmasebi AU - Ali Akbar Jafari AU - Mahmoud Afshari PY - 2015 DA - 2015/03/31 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 - 10.2991/jsta.2015.14.1.1 ID - Tahmasebi2015 ER -