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A remark on the log-log law. (English) Zbl 0244.60024

MSC:

60F15 Strong limit theorems
Full Text: DOI

References:

[1] Feller, W., An extension of the law of the iterated logarithm to variables without variance, J. Math. Mech., 18, 343-355 (1968) · Zbl 0254.60016
[2] Knopp, K., Theory and application of infinite series (1928), London: Blackie and Sons, London · JFM 54.0222.09
[3] Loève, M., Probability theory (1963), Princeton-New Jersey: Van Nostrand, Princeton-New Jersey · Zbl 0108.14202
[4] Rogozin, B. A., On the existence of exact upper sequences, Theor. Probab. Appl., 13, 667-672 (1968) · Zbl 0177.46201
[5] Steiger,W.L.: A converse to the log-log law for martingales. Working paper 185, Centre de Recherches Mathématiques, U. de Montréal (1972). · Zbl 0289.60028
[6] Stout, W. F., The Hartman-Wintner law of the iterated logarithm for martingales, Ann. Math. Statistic., 41, 2158-2160 (1970) · Zbl 0235.60046
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