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References
Strassen, V.: An invariance principle for the law of the iterated logarithm. Z. Wahrscheinlichkeitstheorie verw. Geb. 3, 211–226 (1964).
Skorohod, A. V.: Studies in the theory of random processes. Kiev University, 1961 (translation). Reading (Mass.): Addison-Wesley 1965.
Chung, K. L.: On the maximum partial sums of sequences of independent random variables. Trans. Amer. math. Soc. 64, 205–233 (1948).
Feller, W.: A limit theorem for random variables with infinite moments. Amer. J. Math. 68, 257–262 (1946).
Rosenkrantz, W.: On the rates of convergence for the invariance principle, unpublished m. s., N.Y.U.
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Research supported in part by contract AF 49 (638) 1339 at Stanford University.
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Breiman, L. On the tail behavior of sums of independent random variables. Z. Wahrscheinlichkeitstheorie verw Gebiete 9, 20–25 (1967). https://doi.org/10.1007/BF00535464
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DOI: https://doi.org/10.1007/BF00535464