2012•International Journal of Applied Mathematics & Statistics/International journal of applied mathematics and statisticsOpen access

Moments of Rayleigh Distribution Based on Generalized Order Statistics

M. E. Moshref, S. M. El-Arishy, Ragab Khalil

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Abstract

In this paper, explicit expressions for the single and product moments based on generalized order statistics from Rayleigh distribution have been obtained. Then, we deduce the moments of ordinary order statistics and record values as special cases. Next, we compute the means, variances and covariances of the order statistics and record values and compare with them.

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Key concepts: L-moment, Order statistic, Mathematics, Rayleigh distribution, Statistics, Distribution (mathematics), Order (exchange), Rayleigh scattering