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Hypercontractivity and Comparison of Moments of Iterated Maxima and Minima of Independent Random Variables


 
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1. Title Title of document Hypercontractivity and Comparison of Moments of Iterated Maxima and Minima of Independent Random Variables
 
2. Creator Author's name, affiliation, country Pawel Hitczenko; North Carolina State University
 
2. Creator Author's name, affiliation, country Stanislaw Kwapien; Warsaw University
 
2. Creator Author's name, affiliation, country Wenbo V. Li; University of Delaware
 
2. Creator Author's name, affiliation, country Gideon Schechtman; The Weizmann Institute of Science
 
2. Creator Author's name, affiliation, country Thomas Schlumprecht; Texas A&M University
 
2. Creator Author's name, affiliation, country Joel Zinn; Texas A&M University
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) hypercontractivity, comparison of moments, iterated maxima and minima, Gaussian correlation inequalities, small ball probabilities.
 
3. Subject Subject classification Primary 60B11, 60E07, 60E15. Secondary 52A21, 60G15
 
4. Description Abstract We provide necessary and sufficient conditions for hypercontractivity of the minima of nonnegative, i.i.d. random variables and of both the maxima of minima and the minima of maxima for such r.v.'s. It turns out that the idea of hypercontractivity for minima is closely related to small ball probabilities and Gaussian correlation inequalities.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 1998-01-07
 
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/24
 
10. Identifier Digital Object Identifier 10.1214/EJP.v3-24
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 3
 
12. Language English=en en
 
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