Bayesian Analysis of Gamma Model with Laplace Approximation
|Romana Shehla1, Athar Ali Khan2
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Among all the important failure time distributions, Gamma distribution is the one which is flexible, widely understood and offers a good fit to continuous, skewed reliability data. But the non availability of simple and closed forms of reliability and hazard functions of gamma model had restricted its use. This paper provides a solution to these problems in R by employing Laplace approximation for asymptotic evaluation of integrals. However, the whole demonstration is in Bayesian framework. The asymptotic results have been cross-verified with the simulation results. Real-world problems have been used for illustrative purposes.