Journal of applied mathematics & informatics
- Volume 22 Issue 1_2
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- Pages.331-338
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- 2006
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
A TWO-SIDED ESTIMATE IN THE HSU-ROBBINS-ERDOS LAW OF LARGE NUMBERS FOR I.I.D. RANDOM VARIABLES SEQUENCE
- Cai Guang-Hui (Department of Mathematics and Statistics, Zhejiang Gongshang University) ;
- Zhu Meng-Hu (Department of Mathematics and Statistics, Zhejiang Gongshang University)
- Published : 2006.09.01
Abstract
The Paley-type inequalities for the complete convergence and lower and upper bounds in the Baum-Katz law of large numbers for i.i.d. random variables sequence are obtained. The results obtained generalize the result of Pruss [8].
Keywords
- i.i.d.;
- Paley-type inequalities;
- Hsu-Robbins-Erdos law of large numbers;
- Baum-Katz law of large numbers;
- complete convergence