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On a class of limit distributions

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Abstract

One establishes the relationship between the asymptotic behavior as x→∞ of the distribution function F(x) from the class of the mixtures of normal distributions and the asymptotic behavior of the distribution function G(x).

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Literature cited

  1. D. Kelker, “Infinite divisibility and variance mixtures of the normal distribution,” Ann. Math. Statist.,42, No. 2, 802–808 (1931).

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  2. S. J. Wolfe, “On the infinite divisibility of variance mixtures of normal distribution functions,” Nederl. Akad. Wetensch. Proc. Ser. A81, No. 1, 154–156 (1978).

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  3. H. Ohkubo, “On the asymptotic tail behaviors of infinitely divisible distributions,” Yokohama Math. J.,27, No. 2, 77–89 (1979).

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  4. E. Seneta, Regularly Varying Functions, Lecture Notes in Math., No. 508, Springer, Berlin (1976).

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Additional information

Translated from Veroyatnostnye Raspredeleniya i Matematicheskaya Statistika, pp. 40–48, 1986.

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Antonov, S.N. On a class of limit distributions. J Math Sci 38, 2186–2190 (1987). https://doi.org/10.1007/BF01093819

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  • DOI: https://doi.org/10.1007/BF01093819

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