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Order statistics from discrete distributions
Journal article

Order statistics from discrete distributions

Abstract

Several recurrence relations and identities available for single and product moments of order1 statistics in a sample size n from an arbitrary continuous distribution are extended for the discrete case,, Making use of these recurrence relations it is shown that it is sufficient to evaluate just two single moments and (n-l)/2 product moments when n is odd and two single moments and {n-2)/2 product moments when n is even, in order to evaluate the first, second and product moments of order statistics in a sample of size n drawn from an arbitrary discrete distribution, given these moments in samples of sizes n-1 and less.. A series representation for the product moments of order statistics is derived.. Besides enabling us to obtain an exact and explicit expression for the product moments of order statistics from the geometric distribution, it. makes the computation of the product moments of order statistics from other discrete distributions easy too.

Authors

Balakrishnan N

Journal

Communication in Statistics- Theory and Methods, Vol. 15, No. 3, pp. 657–675

Publisher

Taylor & Francis

Publication Date

January 1, 1986

DOI

10.1080/03610928608829144

ISSN

0361-0926

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