A Bahadur Representation for Quantiles of Empirical DF's of Generalized U-Statistic Structure.

Abstract

A wide class of c-sample statistics can be represented conveniently as quantiles of a nonclassical empirical df having the structure of a generalized U-statistic. A key tool in studying classical quantiles has been the Bahadur representation. This paper provides a suitable extension of that tool to the generalized setting. As auxiliary lemmas, some new results for generalized U-statistics are developed. Also, some further results for empirical df's of generalized U-statistic structure and their corresponding quantiles are provided. Keywords: Empirical distributions; Nonparametric estimation, and Probability inequalities. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1985
Accession Number
ADA163311

Entities

People

  • Robert J. Serfling

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Asymptotic Normality
  • Classification
  • Convergence
  • Data Science
  • Estimators
  • Inequalities
  • Information Science
  • Intervals
  • Military Research
  • New York
  • Normal Distribution
  • Normality
  • Probability
  • Random Variables
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Statistical inference.