Resampling U-statistics using p-stable laws

Herold Dehling, Manfred Denker, Wojbor A. Woyczynski

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

It is well known that symmetric statistics based on a kernel with finite second moment have a limit law which can be described by a multiple Wiener-Ito integral. However, if the kernel has less than second moments, no weak limit law holds in general. In the present paper we show that by a suitable change of the empirical process this process has a p-stable multiple integral as its limit.

Original languageEnglish (US)
Pages (from-to)1-13
Number of pages13
JournalJournal of Multivariate Analysis
Volume34
Issue number1
DOIs
StatePublished - Jul 1990

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Numerical Analysis
  • Statistics, Probability and Uncertainty

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