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American Journal of Applied Mathematics and Statistics. 2014, 2(5), 324-329
DOI: 10.12691/AJAMS-2-5-5
Original Research

Recurrence Relations for Moments of Generalized Order Statistics from Marshall – Olkin extended Kumaraswamy distribution and its Characterization

Ibrahim B. Abdul-Moniem1,

1Department of Quantitative Methods, College of Commerce – Aswan University, Aswan, Egypt

Pub. Date: September 24, 2014

Cite this paper

Ibrahim B. Abdul-Moniem. Recurrence Relations for Moments of Generalized Order Statistics from Marshall – Olkin extended Kumaraswamy distribution and its Characterization. American Journal of Applied Mathematics and Statistics. 2014; 2(5):324-329. doi: 10.12691/AJAMS-2-5-5

Abstract

In this paper, Marshall – Olkin extended Kumaraswamy distribution will be obtained. We give some properties for this distribution. Recurrence relations for single and product moments of generalized order statistics from Marshall – Olkin extended Kumaraswamy distribution have been obtained. Specializations to order statistics and records have been made. Further, using a recurrence relation for single moments we obtain characterization of Marshall – Olkin extended Kumaraswamy distribution.

Keywords

Kumaraswamy distribution, marshall, Olkin extended distributions, generalized order statistics, order statistics, records, single and product moments, recurrence relations, characterization

Copyright

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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