Order Restricted Statistical Tests on Multinomial and Poisson Parameters: The Starshaped Restriction.

Abstract

Likelihood ratio statistics for (i) testing the homogeneity of a collection of multinomial parameters against the alternative which accounts for the restriction that those parameters are starshaped (cf. Shaked, Ann. Statist. (1979)), and for (ii) testing the null hypothesis that this parameter vector is starshaped are considered. For both tests the asymptotic distribution of the test statistic under the null hypothesis is a version of the chi-bar-square distribution. Analogous tests on a collection of Poisson means are also found to have asymptotic chi-bar-square distributions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA102562

Entities

People

  • Richard L. Dykstra
  • Tim Robertson

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Chi Square Test
  • Classification
  • Computer Programs
  • Data Science
  • Distribution Theory
  • Goodness Of Fit Tests
  • Homogeneity
  • Information Science
  • Maximum Likelihood Estimation
  • Missouri
  • New York
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistical Tests
  • Statistics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Statistical inference.