A law of the iterated logarithm for stable summands

Author:
Joshua Chover

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

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References | Similar Articles | Additional Information

**[1]**K. L. Chung and W. H. J. Fuchs,*On the distribution of sums of random variables*, Mem. Amer. Math. Soc., No. 6 (1951). MR**0040610 (12:722e)****[2]**W. Feller,*An introduction to probability theory and its applications*. I, 2nd ed., Wiley, New York, 1957. MR**0088081 (19:466a)****[3]**-,*The general form of the so-called law of the iterated logarithm*, Trans. Amer. Math. Soc.**54**(1963), 373-402. MR**0009263 (5:125c)****[4]**-,*A limit theorem for random variables with infinite moments*, Amer. J. Math.**68**(1946), 257-262. MR**0016569 (8:37a)****[5]**B. V. Gnedenko and A. N. Kolmogorov,*Limit distributions for sums of independent random variables*(Transl. by K. L. Chung), Addison-Wesley, Reading, Mass., 1954. MR**0062975 (16:52d)**

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DOI:
https://doi.org/10.1090/S0002-9939-1966-0189096-2

Article copyright:
© Copyright 1966
American Mathematical Society