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Poisson Thinning by Monotone Factors


 
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1. Title Title of document Poisson Thinning by Monotone Factors
 
2. Creator Author's name, affiliation, country Karen Ball; Indiana University, USA
 
3. Subject Discipline(s)
 
3. Subject Keyword(s)
 
4. Description Abstract Let $X$ and $Y$ be Poisson point processes on the real numbers with rates $l_1$ and $l_2$ respectively. We show that if $l_1 > l_2$, then there exists a deterministic map $f$ such that $f(X)$ and $Y$ have the same distribution, the joint distribution of $(X, f(X))$ is translation-invariant, and which is monotone in the sense that for all intervals $I$, $f(X)(I) \leq X(I)$, almost surely.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2005-04-16
 
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/1134
 
10. Identifier Digital Object Identifier 10.1214/ECP.v10-1134
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 10
 
12. Language English=en
 
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