Different Estimation Methods for System Reliability Multi-Components model: Exponentiated Weibull Distribution

Authors

  • Abbas Najim Salman
  • Fatima Hadi Sail

DOI:

https://doi.org/10.30526/2017.IHSCICONF.1809

Keywords:

Exponentiated Weibull Distribution (EWD), Reliability of multi-component Stress – Strength models R(s,k), Maximum likelihood estimator (MLE), Moment estimator (MOM), shrinkage method (Sh), Least Squares Estimator (LS), Rank Set Sampling (RSS). and mean squared error (MSE).

Abstract

        In this paper, estimation of system reliability of the multi-components in stress-strength model R(s,k) is considered, when the stress and strength are independent random variables and follows the Exponentiated Weibull Distribution (EWD) with known first shape parameter θ and, the second shape parameter α is unknown using different estimation methods. Comparisons among the proposed estimators through  Monte Carlo simulation technique were made depend on mean squared error (MSE)  criteria

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Published

25-Apr-2018

Issue

Section

Mathematics

Publication Dates