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An absolute moments condition for normed sums of independent variables

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Literature cited

  1. C.-G. Esseen and S. Janson, “On moment conditions for normed sums of independent variables and Martingale difference,” Stochast. Process. Applic,19, No. 1, 173–182 (1985).

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  3. N. N. Vakhaniya, V. I. Tarieladze, and S. A. Chobanyan, Probability Distributions in Banach Spaces [in Russian], Nauka, Moscow (1985).

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  4. V. V. Petrov, Sum of Independent Random Variables, Academic Press (1970).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 11, pp. 1450–1455, November, 1989.

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Braverman, M.S. An absolute moments condition for normed sums of independent variables. Ukr Math J 41, 1241–1246 (1989). https://doi.org/10.1007/BF01056488

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  • DOI: https://doi.org/10.1007/BF01056488

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