UNSPECIFIED (2002) Perfect simulation for correlated Poisson random variables conditioned to be positive. STATISTICS AND COMPUTING, 12 (3). pp. 229-243. ISSN 0960-3174

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Abstract

In this paper we present a perfect simulation method for obtaining perfect samples from collections of correlated Poisson random variables conditioned to be positive. We show how to use this method to produce a perfect sample from a Boolean model conditioned to cover a set of points: in W. S. Kendall and E. Thonnes (Pattern Recognition 32(9): 1569-1586, 1999), this special case was treated in a more complicated way. The method is applied to several simple examples where exact calculations can be made, so as to check correctness of the program using chi(2)-tests, and some small-scale experiments are carried out to explore the behaviour of the conditioned Boolean model.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics
Journal or Publication Title:	STATISTICS AND COMPUTING
Publisher:	KLUWER ACADEMIC PUBL
ISSN:	0960-3174
Date:	July 2002
Volume:	12
Number:	3
Number of Pages:	15
Page Range:	pp. 229-243
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/10467

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