Nonparametric and Semiparametric Bayesian Reliability Analysis [entry]

Kaushik Ghosh, Ram C. Tiwari
2014 Wiley StatsRef: Statistics Reference Online   unpublished
In this article, we first provide an overview of some nonparametric Bayesian methods of inference using life-history data. These methods include those that use Dirichlet process, gamma process and beta process as the prior. We then present a semiparametric Bayesian method for estimating the reliability of a component in a multi-component system using lifetime data from several systems. This method assumes that the component lifetimes have a parametric distribution with a Dirichlet process prior
more » ... chlet process prior on the distribution of the parameters. The semiparametric method is illustrated with a simulation study using a data augmentation procedure.
doi:10.1002/9781118445112.stat04175 fatcat:5cry2ye2ibadnkpvoodxm7d2ki