NONPARAMETRIC CONFIDENCE REGIONS FOR SOME MULTIVARIATE LOCATION PROBLEMS.

Abstract

Nonparametric methods of constructing confidence regions for the location vectors in the multivariate one-sample and two-sample problems are provided. These methods are based on a class of rank order statistics. Specifically, nonparametric confidence regions based on Bonferroni inequality, the maximum modulus, and Scheffe's method are studied. The results obtained are nonparametric generalizations of some of the results of Dunn and Sidak. Certain optimality properties of the proposed methods are also established. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1968
Accession Number
AD0676727

Entities

People

  • Madan Lal Puri
  • Pranab Kumar Sen

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Cooperation
  • Data Science
  • Inequalities
  • Information Science
  • Interdisciplinary Science
  • Mathematics
  • North Carolina
  • Order Statistics
  • Rank Order Statistics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.