On complete convergence for weighted sums of pairwise and coordinatewise negatively dependent random vectors in Hilbert spaces

Author:

Thi Thanh Hien NGUYEN,

Abstract

In this paper, we establish the complete convergence theorem and the Marcinkiewicz–Zymund type strong law of large numbers for sequences of pairwise and coordinatewise negatively dependent random vectors fXn; n ≥ 1g taking values in Hilbert spaces

Publisher

Vinh University

Reference9 articles.

1. [1] V. T. N. Anh and N. T. T. Hien, "On the weak laws of large numbers for weighted sums of dependent identically distributed random vectors in Hilbert spaces," Rendiconti del Circolo Matematico di Palermo Series 2, pp. 1-12, 2020.

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4. [4] R. M. Burton, A. Dabrowski and H. Dehling, "An invariance principle for weakly associated random vectors," Stochastic Processes and their Applications, 23 (2), pp. 301-306, 1986.

5. [5] L. V. Dung, T. C. Son and T. M. Cuong, "Weak laws of large numbers for weighted coordinatewise pairwise NQD random vectors in Hilbert spaces," Journal of the Korean Mathematical Society, 56 (2), pp. 457-473, 2019.

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