Estimating the Parameters of Reliability Function based on Rayleigh Distribution

Authors

Adel A. El-Faheem, Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, EgyptFollow
Abdelfattah Mustafa, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.\\ Department of Mathematics, Faculty of Science, Islamic University of Madinah, Saudi Arabia.Follow
Tasneem Abdelhafez, Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, reliability function based on the Rayleigh distribution with two parameters is obtained. The location and scale parameters are estimated using different methods. The maximum likelihood, the first and second modified moment and Bayesian estimation methods are established. A numerical study depends on simulated observation is introduced. Rayleigh distribution was conducted to compare different estimation methods based on their mean square error.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140614

Recommended Citation

A. El-Faheem, Adel; Mustafa, Abdelfattah; and Abdelhafez, Tasneem (2020) "Estimating the Parameters of Reliability Function based on Rayleigh Distribution," Applied Mathematics & Information Sciences: Vol. 14: Iss. 6, Article 14.
DOI: http://dx.doi.org/10.18576/amis/140614
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss6/14