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Random Variable Generation Using Concavity Properties of Transformed Densities
Authors:M. Evans  T. Swartz
Affiliation:1. Department of Statistics , University of Toronto , Toronto , Ontario , Canada , M5S 3G3;2. Department of Mathematics and Statistics , Simon Fraser University , Burnaby , British Columbia , Canada , V5A 156
Abstract:Abstract

Algorithms are developed for constructing random variable generators for families of densities. The generators depend on the concavity structure of a transformation of the density. The resulting algorithms are rejection algorithms and the methods of this article are concerned with constructing good rejection algorithms for general densities.
Keywords:Adaptive rejection sampling  Points of inflection  Random variate generator  T-concavity  T-convexity
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