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The Baum–Katz theorem for dependent sequences

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We propose an approach to the Baum–Katz theorem for dependent random sequences. Using this result, we obtain the rate of convergence in the strong law of large numbers for sequences… Click to show full abstract

We propose an approach to the Baum–Katz theorem for dependent random sequences. Using this result, we obtain the rate of convergence in the strong law of large numbers for sequences of independent random elements in Rademacher type p Banach spaces and for sequences of negatively associated random variables.

Keywords: katz theorem; dependent sequences; baum katz; theorem dependent

Journal Title: Acta Mathematica Hungarica
Year Published: 2017

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