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Positive correlation for increasing events with disjoint dependencies does not imply positive correlation for all increasing events


 
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1. Title Title of document Positive correlation for increasing events with disjoint dependencies does not imply positive correlation for all increasing events
 
2. Creator Author's name, affiliation, country Nicholas Weininger; Rutgers University
 
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4. Description Abstract A probability measure $\mu$ on the lattice $2^{[n]}$ is said to be positively associated if any two increasing functions on the lattice are positively correlated with respect to $\mu$. Pemantle asked whether, in order to establish positive association for a given mu, it might be sufficient to show positive correlation only for pairs of functions which depend on disjoint subsets of the ground set $[n]$. We answer Pemantle's question in the negative, by exhibiting a measure which gives positive correlation for pairs satisfying Pemantle's condition but not for general pairs of increasing functions.
 
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7. Date (YYYY-MM-DD) 2003-07-18
 
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/1078
 
10. Identifier Digital Object Identifier 10.1214/ECP.v8-1078
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 8
 
12. Language English=en
 
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