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

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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Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2025-03-28
DOI
https://doi.org/10.52783/cana.v32.4617
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

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

I. B. Abdul-Moniem A. A. A-Rahman
Communications on Applied Nonlinear Analysis
Statistical Distribution Estimation and Applications
article

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

I. B. Abdul-Moniem A. A. A-Rahman
article en

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.

Communications on Applied Nonlinear AnalysisVol. 32(9s)
Openalex Percentile: Top 93%
Statistical Distribution Estimation and Applications
DOIOpen Access PDFOpenAlex
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Recurrence Relations for Moments of Generalized Order Statistics from Area-biased Rayleigh Distribution and its Characterization — I. B. Abdul-Moniem A. A. A-Rahman · Communications on Applied Nonlinear Analysis (2025) | TGRS Research Map | TGRS