Bayesian Inference for Hard Problems Using the Gibbs Sampler
Alan E. Gelfand and
Bradley P. Carlin
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Alan E. Gelfand: University of Connecticut, Department of Statistics
Bradley P. Carlin: Carnegie Mellon University, Department of Statistics
A chapter in Computing Science and Statistics, 1992, pp 29-37 from Springer
Abstract:
Abstract The Gibbs sampler has been proposed as a general method for Bayesian calculation in Gelfand and Smith (1990). Here we describe two challenging implementations of the sampler. One is in the context of order restricted parameters and is illustrated using the normal linear model. The second involves nonconjugacy and is illustrated using a generalized logistic regression model. Synthesis of the ideas contained in these two problems greatly expands the range of possibilities for successful utilization the Gibbs sampler
Keywords: Posterior Distribution; Bayesian Inference; Carbon Disulphide; Posterior Mode; Full Conditional Distribution (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2856-1_4
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DOI: 10.1007/978-1-4612-2856-1_4
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