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Finitary codes and the law of the iterated logarithm. (English) Zbl 0417.60040


MSC:

60F15 Strong limit theorems
60G07 General theory of stochastic processes
28D99 Measure-theoretic ergodic theory
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References:

[1] Davydov, Y. A., The invariance principle for stationary processes, Theory Probability Appl., 15, 487-498 (1970) · Zbl 0219.60030
[2] Denker, M.: A limit theorem for mixing stationary processes and its applications; preprint · Zbl 0612.60028
[3] Denker, M.; Keane, M., Almost topological dynamical systems, Israel J. Math., 34, 139-160 (1979) · Zbl 0441.28008
[4] Ibragimov, I. A., Some limit theorems for stationary processes, Theory Probability Appl., 7, 349-382 (1962) · Zbl 0119.14204
[5] Ibragimov, I. A.; Linnik, Y. V., Independent and stationary sequences of random variables (1971), Groningen: Wolters-Noordhoff Publ., Groningen · Zbl 0219.60027
[6] McLeish, D. L., Invariance principles for dependent variables, Z. Wahrscheinlichkeitstheorie verw. Gebiete, 32, 165-178 (1975) · Zbl 0288.60034
[7] Philipp, W., Stout, W.: Almost sure invariance principles for partial sums of weakly dependent random variables. Memoirs Amer. Math. Soc. 161 (1975) · Zbl 0361.60007
[8] Reznik, M. K., The law of iterated logarithm for some classes of stationary processes, Theory Probability Appl., 8, 606-621 (1968) · Zbl 0281.60022
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