On Bayesian Estimation in a Parallel System

Valdés Gabriela A. and Salinas Víctor H.
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Valdés Gabriela A.: Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago-Chile.
Salinas Víctor H.: Departamento de Matemática y Ciencia de la Computación, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago-Chile.

Stochastics and Quality Control, 2006, vol. 21, issue 2, 231-242

Abstract: This paper presents a Bayesian approach to the estimation of the reliability of a parallel system with k components. It is assumed that the strengths of the k components are subjected to a common stress which is independent of the strengths of the k components. The reliability of the parallel system or system reliability is estimated assuming that the strengths and the stress are exponentially distributed random variables. The performed Bayesian analysis is based on conjugated prior and non-informative prior distributions, respectively. A simulation data set is considered in order to study the performance of the Bayesian solutions. Some observations are discussed concerning alternative methods and possible extensions.

Keywords: Failure time; Stress-Strength; Bayesian Reliability; Gibbs Sampling (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:ecqcon:v:21:y:2006:i:2:p:231-242:n:6

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DOI: 10.1515/EQC.2006.231

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