2008•Kyungpook mathematical journalOpen access

On Distribution of Order Statistics from Kumaraswamy Distribution

Mridula Garg

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Abstract

In the present paper we derive the distribution of single order statistics, joint distribution of two order statistics and the distribution of product and quotient of two order statistics when the independent random variables are from continuous Kumaraswamy distribution.In particular the distribution of product and quotient of extreme order statistics and consecutive order statistics have also been obtained.The method used is based on Mellin transform and its inverse.

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In the present paper we derive the distribution of single order statistics, joint distribution of two order statistics and the distribution of product and quotient of two order statistics when the independent random variables are from continuous Kumaraswamy distribution.In particular the distribution of product and quotient of extreme order statistics and consecutive order statistics have also been obtained.The method used is based on Mellin transform and its inverse.

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Available abstract

In the present paper we derive the distribution of single order statistics, joint distribution of two order statistics and the distribution of product and quotient of two order statistics when the independent random variables are from continuous Kumaraswamy distribution.In particular the distribution of product and quotient of extreme order statistics and consecutive order statistics have also been obtained.The method used is based on Mellin transform and its inverse.

Key concepts: Order statistic, Mathematics, Independent and identically distributed random variables, Statistics, Random variable, Order (exchange), Univariate distribution, Distribution (mathematics)

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