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A combinatorial lemma and its application to probability theory. (English) Zbl 0071.13003

##### Keywords:
probability theory
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##### References:
 [1] Erik Sparre Andersen, On sums of symmetrically dependent random variables, Skand. Aktuarietidskr. 36 (1953), 123 – 138. · Zbl 0052.36102 [2] Erik Sparre Andersen, On the fluctuations of sums of random variables, Math. Scand. 1 (1953), 263 – 285. · Zbl 0053.09701 · doi:10.7146/math.scand.a-10385 · doi.org [3] Erik Sparre Andersen, On the fluctuations of sums of random variables. II, Math. Scand. 2 (1954), 195 – 223. · Zbl 0058.12102 [4] K. L. Chung and W. H. J. Fuchs, On the distribution of values of sums of random variables, Mem. Amer. Math. Soc. No. 6 (1951), 12. · Zbl 0042.37502 [5] W. Doeblin, Sur l’ensemble de puissances d’une loi de probabilité, Studia Math. 9 (1940), 71 – 96 (French, with Ukrainian summary). · JFM 66.0610.02 [6] P. Erdös, Remark on my paper ”On a theorem of Hsu and Robbins.”, Ann. Math. Statistics 21 (1950), 138. · Zbl 0035.21403 [7] M. Kac, Toeplitz matrices, translation kernels and a related problem in probability theory, Duke Math. J. 21 (1954), 501 – 509. · Zbl 0056.10201 [8] P. Lévy, Théorie de l’addition des variables aléatoires, Paris, 1937. · JFM 63.0490.04
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