A law of the iterated logarithm for stable summands
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- by Joshua Chover
- Proc. Amer. Math. Soc. 17 (1966), 441-443
- DOI: https://doi.org/10.1090/S0002-9939-1966-0189096-2
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References
- K. L. Chung and W. H. J. Fuchs, On the distribution of values of sums of random variables, Mem. Amer. Math. Soc. 6 (1951), 12. MR 40610
- William Feller, An introduction to probability theory and its applications. Vol. I, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1957. 2nd ed. MR 0088081
- W. Feller, The general form of the so-called law of the iterated logarithm, Trans. Amer. Math. Soc. 54 (1943), 373–402. MR 9263, DOI 10.1090/S0002-9947-1943-0009263-7
- W. Feller, A limit theorem for random variables with infinite moments, Amer. J. Math. 68 (1946), 257–262. MR 16569, DOI 10.2307/2371837
- B. V. Gnedenko and A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR 0062975
Bibliographic Information
- © Copyright 1966 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 17 (1966), 441-443
- MSC: Primary 60.30
- DOI: https://doi.org/10.1090/S0002-9939-1966-0189096-2
- MathSciNet review: 0189096