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2013•Journal of Mathematics and StatisticsOpen access

ORDER STATISTICS FROM INDEPENDENT NON-IDENTICALLY DISTRIBUTED DISCRETE RAYLEIGH DISTRIBUTION

Jamjoom

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Abstract

This study deals with the subject of Order Statistics (OS) and its moments for independent non-identically distributed discrete random variables rv’s drawn from one parameter discrete Rayleigh distribution or dRayleigh (θ). Distributions of single order statistics and their moments for dRayleigh (θ) are studied. The kth moments of single os and the mean of the largest and smallest os are obtained for n = 3.

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This study deals with the subject of Order Statistics (OS) and its moments for independent non-identically distributed discrete random variables rv’s drawn from one parameter discrete Rayleigh distribution or dRayleigh (θ). Distributions of single order statistics and their moments for dRayleigh (θ) are studied. The kth moments of single os and the mean of the largest and smallest os are obtained for n = 3.

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Available abstract

This study deals with the subject of Order Statistics (OS) and its moments for independent non-identically distributed discrete random variables rv’s drawn from one parameter discrete Rayleigh distribution or dRayleigh (θ). Distributions of single order statistics and their moments for dRayleigh (θ) are studied. The kth moments of single os and the mean of the largest and smallest os are obtained for n = 3.

Key concepts: Independent and identically distributed random variables, Mathematics, Order statistic, Rayleigh distribution, Statistics, L-moment, Geometric distribution, Distribution (mathematics)

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