On the Relationship Between the Baum–Katz–Spitzer Complete Convergence Theorem and the Law of the Iterated Logarithm

Author:

Li De Li,Rosalsky Andrew,Volodin Andrei

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference31 articles.

1. Spitzer, F.: A combinatorial lemma and its application to probability theory. Trans. Amer. Math. Soc., 82, 323–339 (1956)

2. Baum, L. E., Katz, M.: Convergence rates in the law of large numbers. Trans. Amer. Math. Soc., 120, 108–123 (1965)

3. Jain, N. C.: Tail probabilities for sums of independent Banach space valued random variables. Z. Wahrsh. Verw. Gebiete, 33, 155–166 (1975)

4. Azlarov, T. A., Volodin, N. A.: Laws of large numbers for identically distributed Banach-space valued random variables. Teor. Veroyatnost. i Primenen., 26, 584–590 (1981), in Russian; English translation in Theory Probab. Appl., 26, 573–580 (1981)

5. Yang, X. Y., Wang, X. C.: Tail probabilities for sums of independent and identically distributed Banach space valued random elements. Northeast. Math. J., 2, 327–338 (1986)

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