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Extension of Fill's perfect rejection sampling algorithm to general chains (Extended abstract)

James Allen Fill·Motoya Machida·Duncan J. Murdoch·Jeffrey S. Rosenthal
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Abstract

We provide an extension of the perfect sampling algorithm of Fill (1998) to general chains, and describe how use of bounding processes can ease computational burden. Along the way, we unearth a simple connection between the Coupling From The Past (CFTP) algorithm originated by Propp and Wilson (1996) and our extension of Fill's algorithm.

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James Allen Fill, Motoya Machida, Duncan J. Murdoch, Jeffrey S. Rosenthal. 2001-06-01. Extension of Fill's perfect rejection sampling algorithm to general chains (Extended abstract). https://arxiv.org/abs/math/0106002

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