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Bayesian Analysis for Binomial Models with Generalized Beta Prior Distributions

University of Iowa

The Libby-Novick class of three-parameter generalized beta distributions is shown to provide a rich class of prior distributions for the binomial model that removes some of the restrictions of the standard beta class. The posterior distribution defines a new class of four-parameter generalized beta distributions for which numerical posterior analysis is easily done. A numerical example indicates the desirability of using these wider classes of densities for binomial models, particularly in an interactive computing environment.

Key Words: Generalized beta distribution • nonconjugate priors • binomial models • Bayesian analysis

Journal of Educational and Behavioral Statistics, Vol. 9, No. 2, 163-175 (1984)
DOI: 10.3102/10769986009002163


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