Recurrence Relations for Moments of Generalized Order Statistics from Area-biased Rayleigh Distribution and its Characterization

A. A. A-Rahman, I. B. Abdul-Moniem, M. B. Moemen

doi:10.52783/cana.v32.4617

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Published: Mar 28, 2025

DOI: https://doi.org/10.52783/cana.v32.4617

Keywords:

Generalized order statistics -Single and product moments - Recurrence relations - Area biased Rayleigh distribution - Characterization.

A. A. A-Rahman, I. B. Abdul-Moniem, M. B. Moemen

Abstract

In this paper, the derivation of recurrence relations for single and product moments from generalized order statistics using the Area-biased Rayleigh distribution is presented. This includes specific cases for order statistics and records. Additionally, the Area-biased Rayleigh distribution is characterized through a recurrence relation for single moments.

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Vol. 32 No. 9s (2025)

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