A note on box's general method of approximation for the null distributions of likelihood criteria

  • Leon Jay Gleser
  • Ingram Olkin
Article

Keywords

Null Distribution Remainder Term General Alternative Likelihood Ratio Test Statistic Bernoulli Polynomial 

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References

  1. [1]
    Anderson, T. W. (1958).An Introduction to Multivariate Statistical Analysis, John Wiley and Sons, Inc., New York.MATHGoogle Scholar
  2. [2]
    Bartlett, M. S. (1937). Properties of sufficiency and statistical tests,Proc. Roy. Soc., A,160, 268–282.Google Scholar
  3. [3]
    Basu, D. (1955). On statistics independent of a complete sufficient statistics,Sankhyà,18, 377–380.Google Scholar
  4. [4]
    Box, G. E. P. (1949). A general distribution theory for a class of likelihood criteria,Biometrika,36, 317–346.CrossRefMathSciNetGoogle Scholar
  5. [5]
    Gleser, L. J. and Olkin, I. (1973). Multivariate statistical inference under marginal structure, I,Brit. J. Math. Statist. Psychol.,26, 98–123.MathSciNetGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics 1975

Authors and Affiliations

  • Leon Jay Gleser
    • 1
    • 2
  • Ingram Olkin
    • 1
    • 2
  1. 1.The Johns Hopkins University and Educational Testing ServiceBaltimoreUSA
  2. 2.Stanford University and Educational Testing ServiceStanfordUSA

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