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The Numerical Computation of Posterior Distributions in Bayesian Statistical Inference

Park M. Reilly

Journal of the Royal Statistical Society Series C, 1976, vol. 25, issue 3, 201-209

Abstract: A method is described in which distributions of parameters in problems of Bayesian statistical inference are handled as arrays in computer storage. This results in a very flexible approach to problems in nonlinear regression, fitting of frequency functions, model discrimination, etc. It is particularly valuable in finding marginal and conditional parameter distributions and distributions of functions of the parameters in a model. It does so with no requirements for linearization of models or for specific forms for distribution functions. If more than a few parameters are present the requirements for computer storage may be large.

Date: 1976
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