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Distribution of the supremum location of stationary processes


 
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1. Title Title of document Distribution of the supremum location of stationary processes
 
2. Creator Author's name, affiliation, country Gennady Samorodnitsky; Cornell University; United States
 
2. Creator Author's name, affiliation, country Yi Shen; Cornell University; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) stationary process ; global supremum location ; bounded variation ; strong mixing
 
3. Subject Subject classification 60G10 ; 60G17
 
4. Description Abstract

The location of the unique supremum of a stationary process on an interval does not need to be uniformly distributed over that interval. We describe all possible distributions of the supremum location for a broad class of such stationary processes. We show that, in the strongly mixing case, this distribution does tend to the uniform in a certain sense as the length of the interval increases to infinity.

 

 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) ARO ; NSA ; NSF
 
7. Date (YYYY-MM-DD) 2012-06-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/2069
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-2069
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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