A Note on the Uniform Laws for Dependent Processes Via Coupling |
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| Authors: | Magda Peligrad |
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| Institution: | (1) Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio, 45221-0025 |
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| Abstract: | In this note we investigate the coupling of a class of dependent sequences with an independent one having the same marginal distributions. This method is then used to prove that a uniform law of averages for this class holds if a similar law holds for the associated independent sequence. |
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| Keywords: | coupling weakly dependent sequences uniform convergence strong law of large numbers |
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