文章基本信息

标题：Effect of Mixture Prior in Case of Poorly Specified Prior
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作者：Javed Muneeb ; Saleem Muhammad ; Alamgir 等
期刊名称：Research Journal of Recent Sciences
电子版ISSN：2277-2502
出版年度：2014
卷号：3
期号：2
页码：26-30
语种：English
出版社：International Science Community Association
摘要：The Shifted exponential distribution is appropriate for modeling the distribution of the time to failure of systems under constant failure rate condition. In this regard, the parameter is related to the mean life plus shifted parameter. In this research paper we present shifted exponential as likelihood function and conjugate inverted gamma prior for making Bayesian inference comparatively robust against a prior density poorly specified. Making use of a mixture of conjugate Square root inverted gamma priors assists us to make robust inference against misspecified prior. In case of having a very different likelihood than what will be expected for the given prior density, a large posterior probability of misspecification is obtained, and our posterior distribution will lean heavily on the likelihood.
关键词：Shifted exponential distribution;joint posterior;mixture posterior;mixture of two components inverted gamma prior