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

MathSciNet review:
0189096

Full-text PDF Free Access

References | Similar Articles | Additional Information

**[1]**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. MR**0040610****[2]**William Feller,*An introduction to probability theory and its applications. Vol. I*, John Wiley and Sons, Inc., New York; Chapman and Hall, Ltd., London, 1957. 2nd ed. MR**0088081****[3]**W. Feller,*The general form of the so-called law of the iterated logarithm*, Trans. Amer. Math. Soc.**54**(1943), 373–402. MR**0009263**, 10.1090/S0002-9947-1943-0009263-7**[4]**W. Feller,*A limit theorem for random variables with infinite moments*, Amer. J. Math.**68**(1946), 257–262. MR**0016569****[5]**B. V. Gnedenko and A. N. Kolmogorov,*Limit distributions for sums of independent random variables*, Addison-Wesley Publishing Company, Inc., Cambridge, Mass., 1954. Translated and annotated by K. L. Chung. With an Appendix by J. L. Doob. MR**0062975**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
60.30

Retrieve articles in all journals with MSC: 60.30

Additional Information

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

Article copyright:
© Copyright 1966
American Mathematical Society