Necessary and sufficient conditions for complete convergence of double weighted sums of pairwise independent identically distributed random elements in Banach spaces-Reference-Cited by-同舟云学术

Necessary and sufficient conditions for complete convergence of double weighted sums of pairwise independent identically distributed random elements in Banach spaces

Published:2018-09-22 Issue:2 Volume:157 Page:312-326
ISSN:0236-5294
Container-title:Acta Mathematica Hungarica
language:en
Short-container-title:Acta Math. Hungar.

Author:

Thanh L. V.,Thuy N. T.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10474-018-0876-x.pdf

Reference13 articles.

1. Bai, P., Chen, P.Y., Sung, S.H.: On complete convergence and the strong law of large numbers for pairwise independent random variables. Acta Math. Hungar. 142, 502–518 (2014)

2. P. Y. Chen and D. C. Wang, $$L^r$$ L r convergence for $$B$$ B -valued random elements, Acta Math. Sin. (Engl. Ser.), 28 (2012), 857–868

3. Dung, L.V., Tien, N.D.: Strong laws of large numbers for random fields in martingale type $$p$$ p Banach spaces. Statist. Probab. Lett. 80, 756–763 (2010)

4. Etemadi, N.: An elementary proof of the strong law of large numbers. Z. Wahrsch. Verw. Gebiete 55, 119–122 (1981)

5. O. Klesov, Limit theorems for multi-indexed sums of random variables, Probability Theory and Stochastic Modelling, 71, Springer-Verlag (Heidelberg, 2014)

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