Gompertz Fréchet Strength of a component between two stresses Reliability Estimation

  • Sarah Adnan Mathematical Department / College Of Education / AL-Mustanseriyah University
  • Nada Sabah Karam
Keywords: Reliability, probability P(Y_1<X<Y_2), Gompertz Fréchet distribution, Maximum Likelihood Estimator, Least square Estimator, Weighted Least square Estimator, Regression Estimator, Ranked set sampling estimator.

Abstract

In this paper, the reliability of the stress-strength model is derived for probability P( <X< ) of a component strength X between two stresses ,  , when X and ,  are independent Gompertz Fréchet distribution with unknown and known shape parameters and common known scale parameters. Different methods used to estimate R and Gompertz Fréchet distribution parameters which are [Maximum Likelihood, Least square, Weighted Least square, Regression and Ranked set sampling methods], and the comparison between these estimations by simulation study based on mean square error criteria. The comparison confirms that the performance of the maximum likelihood estimator works better than the other estimators.

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Published
2021-02-19
How to Cite
Adnan, S., & Nada Sabah Karam. (2021). Gompertz Fréchet Strength of a component between two stresses Reliability Estimation. Al-Qadisiyah Journal Of Pure Science, 26(2), Math 23-. https://doi.org/10.29350/qjps.2021.26.2.1257
Section
Mathematical Articles

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