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Some new almost sure results on the functional increments of the uniform empirical process

✍ Scribed by Davit Varron

Book ID
108266944
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
292 KB
Volume
121
Category
Article
ISSN
0304-4149

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Let X~,X2 .... be /.i.d. random variables and h be a symmetric measurable real function. We show that the norms of operators on l~ given by the matrix (~h(Xi, X/)6i~i)l<i,i\_<, are a.s. bounded if and only if h is square integrable.