A Berry-Esseen Theorem for Weighted U-Statistics,

Abstract

A Berry-Esseen theorem is proved for weighted U-statistics, assuming certain growth conditions are satisfied by sums of the weights. The result is proved using the Fourier-analytic techniques of Chan & Wierman (1977) and Callaert & Janssen (1978). Keywords: Random variables; Distribution functions; Asymptotic normality; and Symmetric functions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA164094

Entities

People

  • John C. Wierman

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Computing-Related Activities
  • Convergence
  • Data Science
  • Distribution Functions
  • Inequalities
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • Normality
  • Random Variables
  • Real Numbers
  • Statistics
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Statistical inference.