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Some probability limit theorems. (English) Zbl 0037.08501


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[1] P. Erdös and M. Kac, On certain limit theorems of the theory of probability, Bull. Amer. Math. Soc. 52 (1946), 292 – 302. · Zbl 0063.01274
[2] P. Erdös and M. Kac, On the number of positive sums of independent random variables, Bull. Amer. Math. Soc. 53 (1947), 1011 – 1020. · Zbl 0032.03502
[3] Paul Lévy, Un théorème d’invariance projective relatif au mouvement brownien, Comment. Math. Helv. 16 (1944), 242 – 248 (French). · Zbl 0063.03528 · doi:10.1007/BF02568576
[4] Mark Kac and A. J. F. Siegert, On the theory of noise in radio receivers with square law detectors, J. Appl. Phys. 18 (1947), 383 – 397.
[5] R. H. Cameron and W. T. Martin, The Wiener measure of Hilbert neighborhoods in the space of real continuous functions, J. Math. Phys. Mass. Inst. Tech. 23 (1944), 195 – 209. · Zbl 0060.29103 · doi:10.1002/sapm1944231195
[6] R. H. Cameron and W. T. Martin, Evaluation of various Wiener integrals by use of certain Sturm-Liouville differential equations, Bull. Amer. Math. Soc. 51 (1945), 73 – 90. · Zbl 0063.00698
[7] J. V. Uspensky, Introduction to mathematical probability, New York, 1937. · JFM 63.1069.01
[8] D. Hilbert, Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen, Berlin and Leipzig, Teubner, 1912. · JFM 43.0423.01
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