Open AccessThe New Weibull-Pareto Distribution Stress-Strength Reliability for P(T
Author(s) -
Ali Mutair,
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.2021.26.2.1259
Subject(s) - weibull distribution , estimator , mathematics , statistics , pareto principle , pareto distribution , reliability (semiconductor) , maximum likelihood , mean squared error , generalized pareto distribution , exponentiated weibull distribution , square (algebra) , lomax distribution , extreme value theory , physics , thermodynamics , geometry , power (physics)
In this paper, the reliability formula of the stress-strength model is derived for probability of a component having strength X falling between two stresses T and Z, based on The New Weibull-Pareto Distribution with unknown parameter and known and common parameters and . Four methods for estimating the The New Weibull-Pareto parameters are discussed which are the Maximum Likelihood, Method of Moment, Least Square Method and Weighted Least Square Method, and the comparison between these estimations based on a simulation study by the mean square error criteria for each of the small, medium and large samples. The most important conclusion is that this comparison confirms that the performance of the maximum likelihood estimator works better for all experiments studied.