A Test of Fit for Bivariate Distributions.

Abstract

Tests of fit based on generalized minimum chi-square techniques are developed for bivariate distributions. The asymptotic null distribution of the test statistic is chi square while the asymptotic non-null distribution turns out to be that of a weighted sum of independent non-central chi square variates. The special case of testing the fit of a bivariate normal distribution is investigated in detail and the power is obtained for several alternative families of bivariate distributions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1971
Accession Number
AD0729285

Entities

People

  • John Gurland
  • Ram C. Dahiya

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Distribution Functions
  • Functions (Mathematics)
  • Mathematics
  • Normal Distribution

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.