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Adaptive Rejection Sampling for Gibbs Sampling
W. R. Gilks and P. Wild
Journal of the Royal Statistical Society. Series C (Applied Statistics)
Vol. 41, No. 2 (1992), pp. 337-348
Stable URL: http://www.jstor.org/stable/2347565
Page Count: 12
You can always find the topics here!Topics: Antibodies, Neural cell adhesion molecules, Reactivity, Molecules, Antigens, Monoclonal antibodies, Bayesian networks, Mathematical independent variables, Statistical models, Multilevel models
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We propose a method for rejection sampling from any univariate log-concave probability density function. The method is adaptive: as sampling proceeds, the rejection envelope and the squeezing function converge to the density function. The rejection envelope and squeezing function are piece-wise exponential functions, the rejection envelope touching the density at previously sampled points, and the squeezing function forming arcs between those points of contact. The technique is intended for situations where evaluation of the density is computationally expensive, in particular for applications of Gibbs sampling to Bayesian models with non-conjugacy. We apply the technique to a Gibbs sampling analysis of monoclonal antibody reactivity.
Journal of the Royal Statistical Society. Series C (Applied Statistics) © 1992 Royal Statistical Society