Some Limit Theorems for Large Deviations

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Previous article Next article Some Limit Theorems for Large DeviationsS. V. NagaevS. V. Nagaevhttps://doi.org/10.1137/1110027PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] H. Cramér, Sur un nouveau théorème-limite de la théorie des probabilités, Actual. Sci. et Ind., No. 736, Paris, 1938 Google Scholar[2] Yu. V. Linnik, Limit theorems for sums of independent variables taking into account large deviations, I, II, III, Theory Prob. Applications, 6 (1961), 131–148, 345–360; 7 (1962), pp. 115–129. (English translation.) 10.1137/1106019 0107.13202 LinkGoogle Scholar[3] V. V. Petrov, A generalization of Cramér's limit theorem, Uspekhi Mat. Nauk, IX (1954), 196–202, (In Russian.) Google Scholar[4] V. V. Petrov, Integral theorems for large deviations, Dokl. Akad. Nauk SSSR, 138 (1961), 779–780, (In Russian.) MR0150805 0099.35102 Google Scholar[5] S. V. 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