An analog of the Baum-Katz theorem for negatively associated random fields (Q1851541)
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scientific article; zbMATH DE number 1851314
| Language | Label | Description | Also known as |
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| English | An analog of the Baum-Katz theorem for negatively associated random fields |
scientific article; zbMATH DE number 1851314 |
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An analog of the Baum-Katz theorem for negatively associated random fields (English)
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8 January 2003
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An estimate of the Baum-Katz type for the convergence rate in the strong law of large numbers is obtained for random fields formed by negatively associated variables. The author generalizes results of \textit{A. Gut} [Ann. Probab. 6, 469--482 (1978; Zbl 0383.60030)] and \textit{D. Deng} [Math. Appl. 9, 441--448 (1996; Zbl 0946.60027)], using the Móricz inequality.
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strong law of large numbers for random fields
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estimation of convergence rate
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