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Eine kombinatorische Überlegung und ihre maßtheoretische Erweiterung. (German) Zbl 0211.48304


MSC:

60C05 Combinatorial probability
60A10 Probabilistic measure theory
60G50 Sums of independent random variables; random walks
Full Text: DOI

References:

[1] Andersen, E. S., On sums of symmetrically dependent random variables, Skand. Aktuarietidskr., 36, 123-138 (1953) · Zbl 0052.36102
[2] Baxter, G.; Donsker, M. D., On the distribution of the supremum functional for processes with stationary independent increments, Trans. Amer. math. Soc., 85, 73-87 (1957) · Zbl 0078.32002
[3] Dinges, H., Ein verallgemeinertes Spiegelungsprinzip für den Prozeder Brownschen Bewegung, Z. Wahrscheinlichkeitstheorie, 1, 177-196 (1962) · Zbl 0112.09601
[4] Feller, W.: On combinatorial methods in fluctuation theory. Harald Cramér vol. Wiley 1959. · Zbl 0201.50202
[5] Kac, M., Toeplitz matrices, translation kernels, and a related problem in probability theory, Duke math. J., 21, 501-509 (1954) · Zbl 0056.10201
[6] Kendall, D. G., Some problems in the theory of dams, J. Roy. statist. Soc., Ser. B, 19, 207-212 (1958) · Zbl 0118.35502
[7] Spitzer, F., A combinatorial lemma and its application to probability theory, Trans. Amer. math. Soc., 82, 323-339 (1956) · Zbl 0071.13003
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