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Certain class of infinitely divisible characteristic functions

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References

  1. B. V. Gnedenko and A. N. Kolmogorov,Limit Distributions for Sum of Independent Random Variable, Moscow 1949; English translation, Addison-Wesley, Cambridge, Mass., 1954.

    MATH  Google Scholar 

  2. Yu. V. Linnik, “Linear forms and statistical criteria,”Ukrain. Mat. Zurnal, 5 (1953), English translation which appeared inSelected Translations in Math. Stat. and Prob., 3 (1962). 1–90.

    MathSciNet  MATH  Google Scholar 

  3. E. Lukacs,Characteristic Functions, Griffin’s Stat. Mons., London, 1960.

    MATH  Google Scholar 

  4. R. Shimizu, “Characterization of the normal distribution II,”Ann. Inst. Stat. Math., 14 (1962), 173–178.

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  5. E. Titchmarsh,The Theory of Function, Oxford, 1932.

  6. D. V. Widder,The Laplace Transform, Princeton Univ. Press, 1946.

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Shimizu, R. Certain class of infinitely divisible characteristic functions. Ann Inst Stat Math 17, 115–132 (1965). https://doi.org/10.1007/BF02868161

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  • DOI: https://doi.org/10.1007/BF02868161

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