login

Extension of Fill's perfect rejection sampling algorithm to general chains

Random Structures and AlgorithmsPublished 1 January 2000Open access
James Allen Fill, Motoya Machida, Duncan J. Murdoch, Jeffrey S. Rosenthal
Citations81
SJR quartileQ1
SJR score1.05
SNIP1.22
View PDF

TL;DR

This work provides an extension of the perfect sampling algorithm of Fill (1998) to general chains, and describes how use of bounding processes can ease computational burden.

Abstract

By developing and applying a broad framework for rejection sampling using auxiliary randomness, we provide an extension of the perfect sampling algorithm of Fill (1998a) to general chains on quite general state spaces, 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. © 2000 John Wiley & Sons, Inc. Random Struct. Alg., 17: 290–316, 2000

Keywords

Computer ScienceMathematics