SOME CONFIDENCE BOUNDS FOR DETERMINANTAL ROOTS

Abstract

Attention is focused on the case of two covariance matrices. On the basis of F-distributions, confidence bounds are derived for the roots of one population covariance matrix relative to the other which consist of multiples of the smallest and largest roots of one sample covariance matrix relative to the other. The main result is to give bounds which are the shortest among bounds consisting of multiples of the smallest and largest roots. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1961
Accession Number
AD0265384

Entities

People

  • T.w. Anderson

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Covariance
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.