Likelihood Ratio Tests for and against a Stochastic Ordering between Multinomial Populations; Tests for a Stochastic Ordering.

Abstract

Likelihood ratio tests concerning the parameters of two multinomial populations are discussed. A stochastic ordering restriction is considered as a one sided alternative to equality. The one and two sample tests for equality versus stochastic ordering and stochastic ordering versus all alternatives are derived and their large sample distributions are obtained. The large sample distributions are mixtures of chi-squared distributions. The tests developed provide discrete analogues for the one sided Mann-Whitney-Wilcoxin and Kolmogorov-Smirnov tests. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 17, 1980
Accession Number
ADA088194

Entities

People

  • F. T. Wright
  • Tim Robertson

Organizations

  • University of Iowa

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Data Science
  • Distribution Theory
  • Frequency
  • Information Science
  • Maximum Likelihood Estimation
  • Military Research
  • New York
  • Numbers
  • Probability
  • Real Numbers
  • Statistical Algorithms
  • Statistical Inference
  • Statistical Samples
  • Statistics
  • Theorems
  • Weak Convergence

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.