Selector processes on classes of sets

成果类型:
Article
署名作者:
Talagrand, Michel
署名单位:
Universite Paris Cite; Sorbonne Universite; University System of Ohio; Ohio State University
刊物名称:
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN:
0178-8051
DOI:
10.1007/s00440-004-0350-2
发表日期:
2006
页码:
471-486
关键词:
摘要:
Consider the random subset Chi of Nu obtained by selecting independently each integer with a probability delta. Consider a finite class F of finite sets. We describe a combinatorial quantity that is of the same order as E sup(F epsilon F) card (Chi boolean AND F). We then give a related result allowing to compute the supremum of the empirical process on a class of sets.
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