Journal of Statistical Theory and Applications

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Volume 18, Issue 2, June 2019, Pages 129 - 135

Generalized Order Statistics from Marshall–Olkin Extended Exponential Distribution

Authors
Haseeb Athar1, *, Nayabuddin2, Saima Zarrin3
1Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, Kingdom of Saudi Arabia
2Department of Epidemiology, Faculty of Public Health and Tropical Medicine, Jazan University, Kingdom of Saudi Arabia
3Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
*Corresponding author. Email: haseebathar@hotmail.com
Corresponding Author
Haseeb Athar
Received 11 September 2017, Accepted 4 December 2018, Available Online 18 June 2019.
DOI
10.2991/jsta.d.190515.001How to use a DOI?
Keywords
Generalized order statistics; order statistics; record values; marginal moment generating function; joint moment generating function; Marshall–Olkin extended exponential distribution; characterization
Abstract

A.W. Marshall, I. Olkin, Biometrika. 84 (1997), 641–652, introduced an interesting method of adding a new parameter to an existing distribution. The resulting new distribution is called as Marshall–Olkin extended distribution. In this paper some recurrence relations for marginal and joint moment generating function of generalized order statistics from Marshall–Olkin extended exponential distribution are derived, and the characterization results are presented. Further, the results are deduced for order statistics and record values.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
18 - 2
Pages
129 - 135
Publication Date
2019/06/18
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.190515.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Haseeb Athar
AU  - Nayabuddin
AU  - Saima Zarrin
PY  - 2019
DA  - 2019/06/18
TI  - Generalized Order Statistics from Marshall–Olkin Extended Exponential Distribution
JO  - Journal of Statistical Theory and Applications
SP  - 129
EP  - 135
VL  - 18
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.190515.001
DO  - 10.2991/jsta.d.190515.001
ID  - Athar2019
ER  -