Reliability estimation of an s-out-of-k system with non-identical component strengths: the Weibull case

✍ Scribed by M. Pandey; Md.Borhan Uddin; Jannatul Ferdous

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 523 KB
• Volume: 36
• Category: Article
• ISSN: 0951-8320
• DOI: 10.1016/0951-8320(92)90091-x

✦ Synopsis

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 lnvestiracion Operative, 31 (1980) 232-45). The component strengths follow independent but not all identical WeibuU 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.