Some criteria for uniform asymptotic equivalence of real probability distributions

  • Sadao Ikeda
Article
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Summary

Some criteria are given for type (B) d or uniform asymptotic equivalence of real probability distributions in terms of characteristic functions and of probability density functions. This work is a contribution to the asymptotic equivalence theory which has been developed by the present author [1], [2].

Keywords

Probability Density Function Asymptotic Expansion Basic Space Preceding Lemma Wiener Measure 

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References

  1. [1]
    Ikeda, S. (1963). Asymptotic equivalence of probability distributions with applications to some problems of asymptotic independence,Ann. Inst. Statist. Math.,15, 87–116.MathSciNetMATHGoogle Scholar
  2. [2]
    Ikeda, S. (1968). Asymptotic equivalence of real probability distributions,Ann. Inst. Statist. Math.,20, 339–361.MathSciNetCrossRefMATHGoogle Scholar
  3. [3]
    Ikeda, S. and Matsunawa, T. (1972). On the uniform asymptotic joint normality of sample quantiles,Ann. Inst. Statist. Math.,24, 33–52.CrossRefMathSciNetMATHGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics 1975

Authors and Affiliations

  • Sadao Ikeda
    • 1
  1. 1.Soka UniversityUSA

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