This is a preview of subscription content, log in via an institution to check access.
Literature Cited
V. V. Petrov, Sums of Independent Random Variables, Springer-Verlag (1975).
V. M. Zolotarev, “On the closensess of the distributions of two sums of independent random variables,” Teor. Veroyatn. Ee Primen.,10, No. 3, 519–526 (1965).
S. V. Nagaev, “Some limit theorems for large deviations,” Teor. Veroyatn. Ee Primen.,10, No. 2, 231–254 (1965).
L. V. Osipov, “On the probabilities of large deviations of sums of independent random variables,” Teor. Veroyatn. Ee Primen.,17, No. 2, 320–341 (1972).
I. A. Ibragimov and Yu. V. Linnik, Independent and Stationarily Correlated Variables [in Russian], Nauka, Moscow (1965).
R. Rudzkis, “Large deviations for estimates of the spectrum of a stationary sequence,” Liet. Mat. Rinkinys,18, No. 2, 81–98 (1978).
W. Wolf, “Einige Grenzwertsätze für grosse Abweichungen, II,” Wissenschaftliche Zeitschrift der Technischen Universität, Dresden,21, No. 4, 771–779 (1972).
V. Statulevičius, “On large deviations,” Z. Wahr. Verw. Geb.,6, No. 2, 133–144 (1966).
L. Saulis and V. Statulevičius, “On large deviations for a density function,” Math. Nachr.,70, 111–132 (1976).
Additional information
Institute of Mathematics and Cybernetics, Academy of Sciences of the Lithuanian SSR. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 18, No. 2, pp. 99–116, April–June, 1978.
Rights and permissions
About this article
Cite this article
Rudzkis, R., Saulis, L. & Statulevičius, V. A general lemma on probabilities of large deviations. Lith Math J 18, 226–238 (1978). https://doi.org/10.1007/BF00972235
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00972235