N - M -cold-standby redundancy system in a multicomponent stress–strength model with generalized half-logistic distribution]]>

摘要

AbstractIn this paper, we study the estimation for the reliability of a multicomponent system, namedN-M-cold-standby redundancy system, based on progressive Type-II censoring sample. In the system, there areNsubsystems consisting ofMstatistically independent distributed strength components, and only one of these subsystems works under the impact of stresses at a time and the others remain as standbys. Whenever the working subsystem fails, one from the standbys takes its place. The system fails when the entire subsystems fail. It is supposed that the underlying distributions of random strength and stress both belong to the generalized half-logistic distribution with different shape parameter. The reliability of the system is estimated by using both classical and Bayesian statistical inference. Uniformly minimum variance unbiased estimator and maximum likelihood estimator for the reliability of the system are derived. Under squared error loss function, the exact expression of the Bayes estimator for the reliability of the system is developed by using the Gauss hypergeometric function. The asymptotic confidence interval and corresponding coverage probabilities are derived based on both the Fisher and the observe