Comparison Different Estimation Method for Reliability Function of Rayleigh Distribution Based On Fuzzy Lifetime Data

Authors

  • Taha Anwar Taha Distinguished Students School for Boys, Directorate- General for Education of Anbar Ministry of Education, Anbar 31001, Iraq https://orcid.org/0000-0002-5010-4209
  • Abbas Najim Salman College of Education for Pure Science/Ibn-Al-Haitham, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.4.28

Keywords:

Rayleigh Distribution, Fuzzy Reliability Function, Method of estimation Mean squared error

Abstract

    In this study, we present different methods of estimating fuzzy reliability of a two-parameter Rayleigh distribution via the maximum likelihood estimator, median first-order statistics estimator, quartile estimator, L-moment estimator, and mixed Thompson-type estimator. The mean-square error MSE as a measurement for comparing the considered methods using simulation through different values for the parameters and unalike sample sizes is used. The results of simulation show that the fuzziness values are better than the real values for all sample sizes, as well as  the fuzzy reliability at the estimation  of the Maximum likelihood Method, and Mixed Thompson Method perform better than the other methods in the sense of MSE, so that  we recommend to use this type of estimation.

Downloads

Download data is not yet available.

Downloads

Published

2022-04-30

How to Cite

Taha, T. A. ., & Salman , A. N. . (2022). Comparison Different Estimation Method for Reliability Function of Rayleigh Distribution Based On Fuzzy Lifetime Data. Iraqi Journal of Science, 63(4), 1707–1719. https://doi.org/10.24996/ijs.2022.63.4.28

Issue

Section

Mathematics