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http://hdl.handle.net/20.500.12358/25755
TitleOn Distributions of Generalized Order Statistics from Kumaraswamy Distribution in Closed Forms
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Abstract

The Kumaraswamy distribution which introduced by Poondi Kumaraswamy (1980) is similar to the Beta distribution but has the key advantage of a closed-form cumulative distribution function. With its two non-negative shape parameters p and q, it was originally conceived to model hydrological phenomena,(See for example Mitnik, 2008). In this paper, we study some distributions of generalized order statistics on Kumaraswamy distribution. We have derived the joint probability density functions for generalized order statistics from Kumaraswamy distribution in closed-forms. In addition, the pdf of the conditional distribution for generalized order statistics from Kumaraswamy distribution is obtained. Furthermore, some special cases have been discussed.

Authors
Safi, Samir K.
TypeJournal Article
Subjects
kumaraswamy distribution
generalized order statistics
random variables
conditional distribution
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  • Staff Publications- Faculty of Economics and Administrative Sciences [292]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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