DOI

We obtain a Berry-Esseen boundary for nondegenerate U-statistics of power 2 constructed by independent and not necessarily identically distributed random variables assuming finiteness of the absolute third moments for the first family of the canonical functions and the absolute moments of order 5/3 for the second family of the canonical functions in the Hoeffding expansion.

Original languageEnglish
Pages (from-to)147-152
Number of pages6
JournalTheory of Probability and its Applications
Volume48
Issue number1
DOIs
StatePublished - 1 Dec 2003
Externally publishedYes

    Research areas

  • Berry-Esseen inequality, Rate of convergence, U-statistic

    Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

ID: 36836580