The Law of the Iterated Logarithm for Some Classes of Stationary Processes

Previous article Next article The Law of the Iterated Logarithm for Some Classes of Stationary ProcessesM. Kh. ReznikM. Kh. Reznikhttps://doi.org/10.1137/1113077PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. Kolmogoroff, Über das Gesetz des iterierten Logarithmus, Math. Ann., 101 (1929), 126–135 10.1007/BF01454828 MR1512520 CrossrefGoogle Scholar[2] A. Ya. Khinchin, Asymptotic Laws in Probability Theory, ONTI, 1936, (In Russian.) Translated into German as: Asymptotishe Gesetze der Wahrscheinlichkeitsrechnung, Chelsea Pub., New York, 1948 Google Scholar[3] V. V. Petrov, On the law of the iterated logarithm, Uspehi Mat. Nauk, 15 (1960), 189–194, (In Russian.) MR0130708 0094.32404 Google Scholar[4] N. A. Sapogov, Law of the iterated logarithm for sums of dependent quantities, Leningrad. Gos. Univ. Uč. Zap. Ser. Mat. Nauk, 137(19) (1950), 160–179, (In Russian.) MR0078587 Google Scholar[5] S. B. 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Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Company, Inc., Cambridge, Mass., 1954ix+264, translated by K. L. Chung MR0062975 0056.36001 Google Scholar[11] J. L. Doob, Stochastic processes, John Wiley & Sons Inc., New York, 1953viii+654 MR0058896 0053.26802 Google Scholar[12] Čan Ving Hien, A central limit theorem for stationary processes arising from number-theoretic endomorphisms, Vestnik Moskov. Univ. Ser. I Mat. Meh., 1963 (1963), 28–34, (In Russian.) MR0168002 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotientsNonlinearity, Vol. 34, No. 3 | 25 February 2021 Cross Ref On the History of St. Petersburg School of Probability and Mathematical Statistics: II. 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