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References
Gnedenko, B. V., and A. N. Kolmogorov: Limit distributions for sums of independent random variables. Translated and annotated by K. L. Chung. Cambridge (Mass.): Addison Wesley 1954.
Karamata, J.: Sur un mode de croissance régulière des fonctions. Mathematica (Cluj) 4, 38–53 (1930).
Linnik, YU. V.: On the probability of large deviations for sums of independent random variables. Proc. 4th Berkeley Sympos. math. Statist. Probability, 2, 289–306 (1961).
Loève, M.: Probability theory. New York: Van Nostrand 1960.
Lukacs, E.: Characteristic functions. London: Griffin 1960.
Mclaren, A. D.: Unpublished private communication (1963).
Sethuraman, J.: On the probability of large deviations of families of sample means. Ann. math. Statistics 35, 1304–1316 (1964).
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Heyde, C.C. A contribution to the theory of large deviations for sums of independent random variables. Z. Wahrscheinlichkeitstheorie verw Gebiete 7, 303–308 (1967). https://doi.org/10.1007/BF00535016
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DOI: https://doi.org/10.1007/BF00535016