Literature cited
V. M. Zolotarev, “New point of view on limit theorems considering large deviations,” Memoirs of the Sixth All-Union Conference on Probability Theory and Mathematical Statistics [in Russian], Vilnius (1962), pp. 43–47.
L. V. Kim and A. V. Nagaev, “Nonsymmetric problem of large deviations,” Teor. Veroyatn. Primen.,20, No. 1, 58–68 (1975).
A. V. Nagaev, “Sums of independent random variables,” Teor. Veroyatn. Primen.,22, No. 2, 335–346 (1977).
A. V. Nagaev, “Limit theorems concerning large deviations with Cramer's condition violated,” Izv. Akad. Nauk Uzb. SSR, Ser. Fiz.-Mat., No. 6, 17–22 (1969).
C. C. Heyde, “On large deviation probabilities in the case of attraction to a nonnormal stable law,” Sankhya,A30, No. 3, 253–258 (1968).
S. G. Tkachuk, “Limit theorems for sums of independent random variables belonging to the domain of attraction of a stable law,” Candidate's Dissertation, Tashkent (1977).
W. Feller, Introduction to Probability Theory and Its Applications, Wiley (1968).
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Translated from Matematicheskie Zametki, Vol. 35, No. 1, pp. 125–131, January, 1984.
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Amosova, N.N. Probabilities of large deviations in the case of stable limit distributions. Mathematical Notes of the Academy of Sciences of the USSR 35, 68–71 (1984). https://doi.org/10.1007/BF01142298
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DOI: https://doi.org/10.1007/BF01142298