On the Exact Distribution of the Trace of a Complex Multivariate Beta Matrix

Abstract

An expression was given by Krishnaiah for the density of the distribution of the trace of a complex multivariate beta matrix. Using this expression, the authors have computed exact upper 1%, 2.5%, 5%, 10%, 25%, and 50% points of the distribution of the above trace. The applications of this distribution in the area of the inference on multiple time series are also discussed. Finally, the usefulness of these tables is illustrated by analyzing some data on a C-5A aircraft.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
AD0785944

Entities

People

  • F. J. Schuurmann
  • P. R. Krishnaiah

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Applied Mathematics
  • Commerce
  • Computer Programs
  • Contracts
  • Covariance
  • Data Science
  • Governments
  • Information Science
  • Mathematics
  • Multivariate Analysis
  • Probability
  • Statistical Analysis
  • Statistics
  • Transport Aircraft
  • Wishart Matrices

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra
  • Theoretical Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference