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


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


[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.