Estimation of Reliability Based on Rayleigh Distribution

  • Ayman Hazaymeh Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan
  • Anwar Batiha Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan
  • Naser Alodat Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan
  • Tariq Qawasmeh Department of Mathematics, Faculty of Arts and Sciences, Amman Arab University, Amman, Jordan
  • Ra'ft Abdelrahim Department of Mathematics, College of Art and Sciences, Jouf University, Saudi Arabia
  • Abdelgabar Adam Hassan Department of Mathematics, College of Art and Sciences, Jouf University, Saudi Arabia
  • Ayser Taahat Department of Mathematics, Faculty of Science, Jerash University, Jerash, Jordan
  • Faisal Al-Sharqi Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq; College of Pharmacy, National University of Science and Technology, DhiQar, Iraq
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., Ayser Taahat, & Al-Sharqi, F. (2026). Estimation of Reliability Based on Rayleigh Distribution. Statistics, Optimization & Information Computing, 15(4), 2417-2426. https://doi.org/10.19139/soic-2310-5070-3027
Issue
Vol 15 No 4 (2026)
Section
Research Articles
Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
    2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
    3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).