On the Asymptotic Behavior of Large Deviation Probabilities for the Sums $\Sigma f(x 2^n )$
D. A. Moskvin · Theory of Probability and Its Applications · 1970
Previous article Next article On the Asymptotic Behavior of Large Deviation Probabilities for the Sums $\Sigma f(x 2^n )$D. A. MoskvinD. A. Moskvinhttps://doi.org/10.1137/1115030PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] I. A. Ibragimov and , Yu. V. Linnik, Independent and Stationarily Related Variables, Izd-vo “Nauka”, Moscow, 1965, (In Russian.) Google Scholar[2] A. G. Postnikov, Ergodic aspects of the theory of congruences and of the theory of Diophantine approximations, Trudy Mat. Inst. Steklov, 82 (1966), 3–112, (In Russian.) MR0214561 0161.04904 Google Scholar[3] G. Aleksich, Problems in the Convergence of Orthogonal Series, II, Moscow, 1963, (In Russian.) Google Scholar[4] I. A. Ibragimov, The central limit theorem for sums of functions of independent variables and sums of the form $\Sigma f(t2^{n})$, Theory Prob. Applications, 12 (1967), 596–607 10.1137/1112075 0217.49803 LinkGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Summary of Reports Presented at Sessions of The Probability and Statistics Seminar at the Leningrad Section of The Mathematical Institute of the USSR Academy of Sciences, 1977Theory of Probability & Its Applications, Vol. 23, No. 4 | 17 July 2006AbstractPDF (1262 KB) Volume 15, Issue 2| 1970Theory of Probability & Its Applications163-358 History Submitted:29 February 1968Published online:17 July 2006 InformationCopyright © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1115030Article page range:pp. 229-240ISSN (print):0040-585XISSN (online):1095-7219Publisher:Society for Industrial and Applied Mathematics