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On Complete Convergence of Dominated Random Variables

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Abstract

In this paper, we present some general results concerning complete convergence for arrays of dependent random variables, dominated in a sense by independent random variables. As an application, we obtain the Baum–Katz-type theorem for arrays of some class of dependent random variables.

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Acknowledgements

The authors would like to express their very great appreciation to reviewers for their valuable comments and suggestions which have helped to improve the quality and presentation of this paper

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Correspondence to Habib Naderi.

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Naderi, H., Matuła, P. & Amini, M. On Complete Convergence of Dominated Random Variables. Iran J Sci Technol Trans Sci 43, 1161–1165 (2019). https://doi.org/10.1007/s40995-018-0570-4

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  • DOI: https://doi.org/10.1007/s40995-018-0570-4

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