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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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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