Open AccessEstimation of Multicomponent Reliability Based on Progressively Type II Censored Data from Unit Weibull Distribution
Author(s) -
Refah Alotaibi,
Yogesh Mani Tripathi,
Sanku Dey,
Hoda Rezk
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.30
Subject(s) - weibull distribution , censoring (clinical trials) , estimator , bayes' theorem , statistics , mathematics , interval estimation , bayes estimator , parametric statistics , reliability (semiconductor) , bayesian probability , confidence interval , power (physics) , physics , quantum mechanics
In this paper, inference upon stress-strength reliability is considered for unit-Weibull distributions with a common parameter under the assumption that data are observed using progressive type II censoring. We obtain di_erent estimators of system reliability using classical and Bayesian procedures. Asymptotic interval is constructed based on Fisher information matrix. Besides, boot-p and boot-t intervals are also obtained. We evaluate Bayes estimates using Lindley's technique and Metropolis-Hastings (MH) algorithm. The Bayes credible interval is evaluated using MH method. An unbiased estimator of this parametric function is also obtained under know common parameter case. Numerical simulations are performed to compare estimation methods. Finally, a data set is studied for illustration purposes.