This paper investigates the feasibility of the Bayesian discrete time approximation method to estimate the parameters of Weibull distributions of failures for two non-identical components connected in series system. A Bayesian model based on the discrete time approximation method is formulated to infer the Weibull parameters of two non-identical components with the failure data of the virtual tests. The study of this paper comes to a conclusion that the method is feasible only for some special cases under the given constraints on the concerned parameters.
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John D. Kalbfleisher, Ross L. Prentice, 2002, ' The Statistical Analysis of Failure Time Data, 2nd edition,' Wiley, pp. 31-48
A. Mustafa, 2008, 'Reliability Equivalence of Two Non-identical Components,' International Journal of Reliability and Application, Vol. 9 No. 1, pp. 79-93
In-Seung Chung, 2008, 'A Discrete Time Approximation Method using Bayesian Inference of Parameters of Weibull Distribution and Acceleration Parameters with Time-Varying Stresses,' Th10F047, Proceedings of the KSME 2008 Fall Annual Meeting, pp. 1331-1336