Literature cited
V. M. Zolotarev, “On pseudomoments,”Teor. Veroyatn. i Prim.,23, No. 2, 284–294 (1978).
V. V. Petrov,Sums of Independent Random Variables, Springer, New York (1975).
I. F. Pinelis and A. I. Sakhanenko, “Remarks on inequalities for large deviations,”Teor. Veroyatn. i Prim.,30, No. 1, 127–131 (1985).
W. Feller,Introduction to Probability Theory, Vol. 1, Wiley, New York (1959).
I. S. Shiganov, “Remarks on quantitative estimates of the rate of convergence in the central limit theorem,”Probl. Ustoich. Stokh. Mod., 142–129 (1987).
Sh. S. Ebralidze, “An inequality for the probability of large deviations in terms of pseudomoments,”Teor. Veroyatn. i Prim.,16, No. 4, 760–764 (1972).
V. V. Yurinskii, “Exponential estimates for large deviations,”Teor. Veroyatn. i Prim.,19, No. 1, 152–154 (1974).
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Translated from:Problemy Ustoichivosti Stokhasticheskikh Modelei, Trudy Seminara, 1989, pp. 132–139.
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Tolmachev, A.I. On estimates of the probability of large deviations using pseudomoments. J Math Sci 59, 999–1004 (1992). https://doi.org/10.1007/BF01099132
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DOI: https://doi.org/10.1007/BF01099132