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
Ikeda, S. (1963). Asymptotic equivalence of probability distributions with applications to some problems of asymptotic independence,Ann. Inst. Statist. Math.,15, 87–116.
Ikeda, S. (1968). Asymptotic equivalence of real probability distributions,Ann. Inst. Statist. Math.,20, 339–361.
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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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