Abstract
Abstract A multi-component stress-strength model of an s- out-of -k system is considered. Johnson (Handbook of Statistics, vol. 7. Elsevier Science Publishers, 1988, pp. 27–54) introduced the generalization of such a system by considering a non-identical component's strength distribution and also found the maximum likelihood estimate (mle) by considering an exponential distribution of stress and strength. Bayes estimate of such a system's reliability function is obtained by using the Lindley's method of approximation (Trabajos de Estadisticay Investiracion Operative, 31 (1980) 232–245). The component strengths follow independent but not all identical Weibull distributions. It is further assumed that all the components are subjected to a common random stress which is also distributed as a Weibull random variable. A squared error loss function is used. A numerical example is presented in which comparison is made with the mle obtained by a Monte Carlo study of efficiency and Pitman nearness probability.
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