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Literature Cited
Yu. V. Prokhorov, “Sums of identically distributed variables,” Dokl. Akad. Nauk SSSR,105, No. 4, 645–647 (1955).
A. N. Kolmogorov, “Two uniform theorems for sums of independent summands,” Teor. Veroyatn. Primen.,1, No. 4, 426–436 (1956).
T. V. Arak and A. Yu. Zaitsev, “Uniform limit theorems for sums of independent random variables,” Trudy Mat. Inst. V. A. Steklova, Akad. Nauk SSSR,174 (1986).
E. L. Presman, “Two inequalities for symmetric processes and symmetric distributions,” Teor. Veroyatn. Primen.,26, No. 4, 827–831 (1981).
H. Bergström, “On asymptotic expansions of probability functions,” Skand. Aktuarietidskrift,34, No. 1, 1–33 (1951).
V. Chyakanavichyus, “Lower bounds in Bertström's identity,” Liet. Mat. Rinkinys,28, No. 1, 153–169 (1988).
A. Kovach, “Asymtotic expansions of Bergström type for integer-valued random variables and vectors,” Candidate's Dissertation, Vilnius (1983).
Additional information
V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 29, No. 1, pp. 171–178, January–March, 1989.
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Cekanavicius, V. Approximation with accompanying distributions and asymptotic expansions. I. Lith Math J 29, 75–80 (1989). https://doi.org/10.1007/BF00966502
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DOI: https://doi.org/10.1007/BF00966502