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Some criteria for uniform asymptotic equivalence of real probability distributions

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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].

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References

  1. Ikeda, S. (1963). Asymptotic equivalence of probability distributions with applications to some problems of asymptotic independence,Ann. Inst. Statist. Math.,15, 87–116.

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  2. Ikeda, S. (1968). Asymptotic equivalence of real probability distributions,Ann. Inst. Statist. Math.,20, 339–361.

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  3. Ikeda, S. and Matsunawa, T. (1972). On the uniform asymptotic joint normality of sample quantiles,Ann. Inst. Statist. Math.,24, 33–52.

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Authors and Affiliations

  1. Soka University, USA

    Sadao Ikeda

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  1. Sadao Ikeda
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Ikeda, S. Some criteria for uniform asymptotic equivalence of real probability distributions. Ann Inst Stat Math 27, 421–428 (1975). https://doi.org/10.1007/BF02504660

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  • DOI: https://doi.org/10.1007/BF02504660

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