Convergence rates in the law of large numbers and new kinds of convergence of random variables

Ze-Chun Hu and Wei Sun

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 18, 4308-4323

Abstract: In this paper, we first study convergence rates in the law of large numbers for independent and identically distributed random variables. We obtain a strong Lp-convergence version and a strongly almost sure convergence version of the law of large numbers. Second, we investigate several new kinds of convergence of random variables and discuss their relations and properties.

Date: 2021
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DOI: 10.1080/03610926.2020.1716248

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