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Some Extensions of an Inequality of Vapnik and Chervonenkis


 
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1. Title Title of document Some Extensions of an Inequality of Vapnik and Chervonenkis
 
2. Creator Author's name, affiliation, country Dmitriy Panchenko; University of New Mexico
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Concentration of measure, empirical processes
 
3. Subject Subject classification 60E15, 28A35
 
4. Description Abstract The inequality of Vapnik and Chervonenkis controls the expectation of the function  by its sample
average uniformly over a VC-major class of functions taking into account the size of the expectation.
Using Talagrand's kernel method we prove a similar result for the classes of functions for which Dudley's
uniform entropy integral or bracketing entropy integral is finite.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2002-01-17
 
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/1047
 
10. Identifier Digital Object Identifier 10.1214/ECP.v7-1047
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 7
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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