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Limit distributions of U-statistics resambled by symmetric stable laws

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Publication:1203933
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DOI10.1007/BF01222511zbMath0767.60045MaRDI QIDQ1203933

Jerzy Szulga

Publication date: 4 March 1993

Published in: Probability Theory and Related Fields (Search for Journal in Brave)


zbMATH Keywords

\(U\)-statisticsmultiple stochastic integralssymmetric \(\alpha\)-stable process


Mathematics Subject Classification ID

Stochastic integrals (60H05) Nonparametric inference (62G99)


Related Items (1)

A Monte Carlo algorithm for multiple stochastic integrals of stable processes



Cites Work

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  • Random multilinear forms
  • On Itô stochastic integration with respect to p-stable motion: Inner clock, integrability of sample paths, double and multiple integrals
  • A multiple stochastic integral with respect to a strictly p-stable random measure
  • Resampling \(U\)-statistics using \(p\)-stable laws
  • Multiple integration with respect to Poisson and Lévy processes
  • Mises’ Theorem on the Asymptotic Behavior of Functionals of Empirical Distribution Functions and Its Statistical Applications


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