Abstract
AbstractIn this chapter, estimation of multi-component system reliability, particularly, s-out-of-k system is considered, where the system has k independent and similar components under stress-strength setup. The system reliability is evaluated assuming new Weibull-Pareto distribution for strength and stress variables. Likelihood ratio test is also constructed to test the equality of scale parameters on which the reliability of the system depends. Maximum likelihood estimator of the system reliability is obtained based on upper records. Approximate Bayes estimators are also obtained using Lindley's approximation technique. The estimators are compared based on mean squares error criteria using simulation. The estimation procedures are illustrated using real data.KeywordsBayes estimatorMaximum likelihood estimatorNew Weibull-Pareto distributionStress-strength reliabilityUpper record values
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