Open AccessEstimating the Reliability of a Component between Two Stresses from Gompertz-Frechet Model
Author(s) -
Sarah Adnan,
Nada S. Karam
Publication year - 2021
Publication title -
mağallaẗ al-qādisiyyaaẗ li-l-ʻulūm al-ṣirfaẗ
Language(s) - English
Resource type - Journals
eISSN - 2411-3514
pISSN - 1997-2490
DOI - 10.29350/qjps.2021.26.2.1257
Subject(s) - gompertz function , reliability (semiconductor) , component (thermodynamics) , reliability engineering , mathematics , statistics , engineering , physics , thermodynamics , power (physics)
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.