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Perfect sampling from the limit of deterministic products of stochastic matrices


 
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1. Title Title of document Perfect sampling from the limit of deterministic products of stochastic matrices
 
2. Creator Author's name, affiliation, country Örjan Stenflo; Uppsala University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Perfect sampling, Stochastic matrices, Markov Chain Monte Carlo, Iterated Function Systems
 
3. Subject Subject classification 15A51, 65C05, 60J10
 
4. Description Abstract We illustrate how a technique from the theory of random iterations of functions can be used within the theory of products of matrices. Using this technique we give a simple proof of a basic theorem about the asymptotic behavior of (deterministic) ``backwards products'' of row-stochastic matrices and present an algorithm for perfect sampling from the limiting common row-vector (interpreted as a probability-distribution).
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2008-09-07
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1409
 
10. Identifier Digital Object Identifier 10.1214/ECP.v13-1409
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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