Some Baum-Katz type results for \({\varphi}\)-mixing random variables with different distributions (Q1935065)
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scientific article; zbMATH DE number 6132869
| Language | Label | Description | Also known as |
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| English | Some Baum-Katz type results for \({\varphi}\)-mixing random variables with different distributions |
scientific article; zbMATH DE number 6132869 |
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Some Baum-Katz type results for \({\varphi}\)-mixing random variables with different distributions (English)
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30 January 2013
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The authors relax Peligrad's stationarity, and Shao's identically distributed, conditions on mixing random variables, in order to obtain Baum-Katz type complete convergence results under the appropriate moment condition. Along with standard techniques, the authors adapt those from the Baum-Katz theorem for martingales. As a by-product, they obtain an improved version of the Marcinkiewicz strong law of large numbers for mixing random variables.
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\(\varphi\)-mixing random variables
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complete convergence
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