Estimation of Reliability Based on Rayleigh Distribution

Statistics Optimization & Information Computing 2026 Open access

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Authors: Ayman Hazaymeh, Anwar Batiha, Naser Alodat, Tariq Qawasmeh, Ra’ft Abdelrahim, Abdelgabar Adam Hassan, Ayser Nasir Hassan Tahat, Faisal Al-Sharqi
DOI: 10.19139/soic-2310-5070-3027
Cited by: 0

Abstract

The estimation of p(x>y) where x and y are two independent Rayleigh distributions is the focus of this work. The asymptotic distribution of the maximum likelihood is obtained. Both the approximate maximum likelihood estimator of R and the maximum likelihood estimator are suggested. We derive the maximum likelihood estimate of R's asymptotic distribution. The asymptotic distribution can be used to determine the R confidence interval.

Fields of Study & Subjects

Statistical Distribution Estimation and Applications Reliability and Maintenance Optimization Probability and Statistical Research

Publication details

Journal / source
Statistics Optimization & Information Computing
Volume
15
Issue
4
Pages
2417–2426
Publication date
11 January 2026