Authors
Chiranjit Mukhopadhyay, Asit P Basu
Publication date
1997/3/30
Journal
Journal of Statistical Planning and Inference
Volume
59
Issue
1
Pages
79-100
Publisher
North-Holland
Description
For series systems with k components it is assumed that the cause of failure is known to belong to one of the 2k − 1 possible subsets of the failure-modes. The theoretical time to failure due to k causes are assumed to have independent Weibull distributions with equal shape parameters. After finding the MLEs and the observed information matrix of (λ1, …, λk, β), a prior distribution is proposed for (λ1, …, λk), which is shown to yield a scale-invariant noninformative prior as well. No particular structure is imposed on the prior of β. Methods to obtain the marginal posterior distributions of the parameters and other parametric functions of interest and their Bayesian point and interval estimates are discussed. The developed techniques are illustrated using a numerical example.
Total citations
Scholar articles
C Mukhopadhyay, AP Basu - Journal of Statistical Planning and Inference, 1997