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Literature Cited
P. Hartman and A. Wintner, “On the law of the iterated logarithm,” Am. J. Math.,63, No. 1, 169–176 (1941).
M. Iosifescu, “La loi du logarithme itere pour une classe de variables aletoires dependent,” Teor. Veryoatn. Primen.,13, No. 2, 315–325 (1968).
M. Kh. Reznik, “Law of the iterated logarithm for certain classes of stationary processes,” Teor. Veryoatn. Primen.,13, No. 4, 642–656 (1968).
W. Philipp, “The law of the iterated logarithm for mixing stochastic processes,” Ann. Math. Statist.,40, No. 6, 1985–1991 (1961).
R. Bentkus and R. Rudzskis, “Exponential estimates of distributions of random variables,” Liet. Mat. Rinkinys,20, No. 1, 15–30 (1980).
V. Statulyavichus, “Limit theorems for stochastic functions. I,” Liet. Mat. Rinkinys,10, No. 3, 583–592 (1970).
V. V. Petrov, Sums of Independent Random Variables, Springer-Verlag (1975).
Ya. Kh. Kuchkarov, “Law of the iterated logarithm for inhomogeneous Markov chains,” Liet. Mat. Rinkinys,5, No. 4, 575–583 (1965).
I. A. Ibragimov, “Limit theorems for stationary processes,” Teor. Veroyatn. Primen.,7, No. 4, 361–392 (1962).
Additional information
V. Kapsukas Vilnius State University. Translated from Litovskii Matematicheskii Sbornik (Lietuvos Matematikos Rinkinys), Vol. 21, No. 1, pp. 85–94, January–March, 1981.
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Lapinskas, R. Law of the logarithm for stationary sequences. Lith Math J 21, 40–45 (1981). https://doi.org/10.1007/BF00970255
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DOI: https://doi.org/10.1007/BF00970255