Bayesian inference for the power law process
SK Bar-Lev, I Lavi, B Reiser - Annals of the Institute of Statistical …, 1992 - Springer
SK Bar-Lev, I Lavi, B Reiser
Annals of the Institute of Statistical Mathematics, 1992•SpringerThe power law process has been used to model reliability growth, software reliability and the
failure times of repairable systems. This article reviews and further develops Bayesian
inference for such a process. The Bayesian approach provides a unified methodology for
dealing with both time and failure truncated data. As well as looking at the posterior
densities of the parameters of the power law process, inference for the expected number of
failures and the probability of no failures in some given time interval is discussed. Aspects of …
failure times of repairable systems. This article reviews and further develops Bayesian
inference for such a process. The Bayesian approach provides a unified methodology for
dealing with both time and failure truncated data. As well as looking at the posterior
densities of the parameters of the power law process, inference for the expected number of
failures and the probability of no failures in some given time interval is discussed. Aspects of …
Abstract
The power law process has been used to model reliability growth, software reliability and the failure times of repairable systems. This article reviews and further develops Bayesian inference for such a process. The Bayesian approach provides a unified methodology for dealing with both time and failure truncated data. As well as looking at the posterior densities of the parameters of the power law process, inference for the expected number of failures and the probability of no failures in some given time interval is discussed. Aspects of the prediction problem are examined. The results are illustrated with two data examples.
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