Generalized Order Statistics from Marshall-Olkin Extended Exponential Distribution

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 gen...

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Published in:Journal of Statistical Theory and Applications (JSTA) 2019-06, Vol.18 (2), p.129-135
Main Authors: Athar, Haseeb, Nayabuddin, Zarrin, Saima
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Language:English
Subjects:
Generalized order statistics
joint moment generating function
marginal moment generating function
Marshall–Olkin extended exponential distribution
order statistics
Probability distribution functions
record values
Research Article
Statistics
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Nayabuddin
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description 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.
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subjects Generalized order statistics
joint moment generating function
marginal moment generating function
Marshall–Olkin extended exponential distribution
order statistics
Probability distribution functions
record values
Research Article
Statistics
title Generalized Order Statistics from Marshall-Olkin Extended Exponential Distribution
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