期刊名称：International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN：2347-6710
电子版ISSN：2319-8753
出版年度：2013
卷号：2
期号：11
页码：6244
出版社：S&S Publications
摘要：Among all the important failure time distributions, Gamma distribution is the one which is flexible, widelyunderstood and offers a good fit to continuous, skewed reliability data. But the non availability of simple and closed formsof reliability and hazard functions of gamma model had restricted its use. This paper provides a solution to these problemsin R by employing Laplace approximation for asymptotic evaluation of integrals. However, the whole demonstration is inBayesian framework. The asymptotic results have been cross-verified with the simulation results. Real-world problemshave been used for illustrative purposes.
关键词：Bayesian; Gamma distribution; Laplace approximation; LaplacesDemon; Marginal posterior density; R.
