On the almost sure boundedness of norms of some empirical operators

Rafal Latala

Statistics & Probability Letters, 1998, vol. 38, issue 2, 177-182

Abstract: Let X1, X2,... be i.i.d. random variables and h be a symmetric measurable real function. We show that the norms of operators on l2n given by the matrix ( are a.s. bounded if and only if h is square integrable.

Keywords: U-statistics; Paley-Zygmund; inequality; Law; of; large; numbers (search for similar items in EconPapers)
Date: 1998
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