Cochran's Theorem, Rank Additivity, and Tripotent Matrices.

Abstract

Our purpose in this paper is to review various extensions of Cochran's Theorem in a bibliographic and historical perspective, with special emphasis on matrix-theoretic analogues. while we present over 30 references, we note that Scarowsky (1973) has a rather complete discussion and bibliography on the distribution of quadratic forms in normal random variables.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA092636

Entities

People

  • George P. H. Styan
  • Theodore W. Anderson

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Classification
  • Confidence Limits
  • Covariance
  • Data Science
  • Estimators
  • Information Science
  • Maximum Likelihood Estimation
  • Military Research
  • Normal Distribution
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Statistics
  • Surveys
  • Theorems

Readers

  • Library and Information Science
  • Linear Algebra
  • Mathematical Modeling and Probability Theory.