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Recurrence Relations of Moments of Generalized Order Statistics in a Compound Rayleigh Distribution

M. I. Khan, Mohd. Akram Raza Khan

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Abstract

In this paper, recurrence relations for single and product moments of generalized order statistics (gos) from the Compound Rayleigh distribution ( CRD ) have been established . These relations are deduced for moments of order statistics and upper record values . Further, this distribution has been characterized through the recurrence relation for a single moment ofgeneralized order statistics from CRD .

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What this paper is about

In this paper, recurrence relations for single and product moments of generalized order statistics (gos) from the Compound Rayleigh distribution ( CRD ) have been established . These relations are deduced for moments of order statistics and upper record values . Further, this distribution has been characterized through the recurrence relation for a single moment ofgeneralized order statistics from CRD .

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Available abstract

In this paper, recurrence relations for single and product moments of generalized order statistics (gos) from the Compound Rayleigh distribution ( CRD ) have been established . These relations are deduced for moments of order statistics and upper record values . Further, this distribution has been characterized through the recurrence relation for a single moment ofgeneralized order statistics from CRD .

Key concepts: Recurrence relation, Order statistic, L-moment, Mathematics, Statistics, Rayleigh distribution, Distribution (mathematics), Moment (physics)

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