Estimation of Reliability Based on Rayleigh Distribution

  • Ayman Hazaymeh jadara university
  • Anwar Batiha
  • Naser Alodat
  • Tariq Qawasmeh
  • Ra'ft Abdelrahim
  • Abdelgabar Adam Hassan
  • Faisal Al-Sharqi National University of Science and Technology
DOI: https://doi.org/10.19139/soic-2310-5070-3027
Keywords: Rayleigh, maximum likelihood, asymptotic distribution, Fisher information matrix

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.
Published
2026-01-11
How to Cite
Hazaymeh, A., Batiha, A., Alodat, N., Qawasmeh, T., Abdelrahim, R., Adam Hassan, A., & Al-Sharqi, F. (2026). Estimation of Reliability Based on Rayleigh Distribution. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3027
Issue
Online First
Section
Research Articles
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