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Equivalent conditions of complete convergence for m-dimensional products of iid random variables and application to strong law of large numbers |
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| Authors: | WANG Yuebao SU Chun LIANG Hanying CHENG Fengyang |
| Affiliation: | 1. Department of Mathematics, Suzhou University, Suzhou 215006, China 2. Department of Statistics and Finance, University of Science and Technology of China, Hefei 230026, China 3. Department of Applied Mathematics, Tongji University, Shanghai 200092, China |
| Abstract: | Under very weak condition 0 × r(f) ↑ ∞, t→ ∞, we obtain a series of equivalent conditions of complete convergence for maxima of m-dimensional products of iid random variables, which provide a useful tool for researching this class of questions. Some results on strong law of large numbers are given such that our results are much stronger than the corresponding result of Gadidov’s. |
| Keywords: | maxima of products product of maxima complete convergence strong law of large numbers equivalence |
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