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Closure Properties and Negatively Associated Measures violating the van den Berg-Kesten Inequality


 
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1. Title Title of document Closure Properties and Negatively Associated Measures violating the van den Berg-Kesten Inequality
 
2. Creator Author's name, affiliation, country Klas Markström; Umea universitet
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Negative correlation, Correlation Inequalities, Closure properties
 
3. Subject Subject classification 60C
 
4. Description Abstract We first give an example of a negatively associated measure which does not satisfy the van den Berg-Kesten inequality. Next we show that the class of measures satisfying the van den Berg-Kesten inequality is not closed under either of conditioning, introduction of external fields or convex combinations. Finally we show that this class also includes measure which have rank sequence which is not logconcave.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2010-10-04
 
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/1575
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1575
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
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