Convergence rates in the law of large numbers

Authors:
Leonard E. Baum and Melvin Katz

Journal:
Trans. Amer. Math. Soc. **120** (1965), 108-123

MSC:
Primary 60.30

DOI:
https://doi.org/10.1090/S0002-9947-1965-0198524-1

MathSciNet review:
0198524

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References | Similar Articles | Additional Information

**[1]**Leonard E. Baum and Melvin Katz,*Convergence rates in the law of large numbers*, Bull. Amer. Math. Soc.**69**(1963), 771-772. MR**0156373 (27:6296)****[2]**Leonard E. Baum, Melvin Katz and Robert R. Read,*Exponential convergence rates for the law of large numbers*, Trans. Amer. Math. Soc.**102**(1962), 187-199. MR**0133855 (24:A3679)****[3]**Paul Erdös,*On a theorem of Hsu and Robbins*, Ann. Math. Statist.**20**(1949), 286-291. MR**0030714 (11:40f)****[4]**C. G. Esseen,*Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law*, Acta Math.**77**(1945), 1-125. MR**0014626 (7:312a)****[5]**W. Feller,*The general form of the so-called law of the iterated logarithm*, Trans. Amer. Math. Soc**54**(1943), 373-402. MR**0009263 (5:125c)****[6]**Melvin Katz,*The probability in the tail of a distribution*, Ann. Math. Statist.**34**(1963), 312-318. MR**0144369 (26:1914)****[7]**-,*Note on the Berry-Esseen theorem*, Ann. Math. Statist.**34**(1963), 1107-1108. MR**0151996 (27:1977)****[8]**M. Loève,*Probability theory*, Van Nostrand, New York, 1960. MR**0123342 (23:A670)****[9]**F. Spitzer,*A combinatorial lemma and its application to probability theory*, Trans. Amer. Math. Soc.**82**(1956), 323-339. MR**0079851 (18:156e)**

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DOI:
https://doi.org/10.1090/S0002-9947-1965-0198524-1

Article copyright:
© Copyright 1965
American Mathematical Society