On the rate of convergence in the strong law of large numbers for negatively orthant-dependent random variables

Aiting Shen, Ying Zhang and Andrei Volodin

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 21, 6209-6222

Abstract: In this paper, we study the complete convergence and complete moment convergence for negatively orthant-dependent random variables. Especially, we obtain the Hsu–Robbins-type theorem for negatively orthant-dependent random variables. Our results generalize the corresponding ones for independent random variables.

Date: 2016
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DOI: 10.1080/03610926.2014.957858

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