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J. Korean Math. Soc. 2019; 56(2): 457-473
Online first article November 21, 2018 Printed March 1, 2019
https://doi.org/10.4134/JKMS.j180217
Copyright © The Korean Mathematical Society.
Weak laws of large numbers for weighted coordinatewise pairwise NQD random vectors in Hilbert spaces
Dung Van Le, Son Cong Ta, Cuong Manh Tran
The University of Da Nang - University of Science and Education; VNU Hanoi University of Science; VNU Hanoi University of Science
In this paper, we investigate weak laws of large numbers for weighted coordinatewise pairwise negative quadrant dependence random vectors in Hilbert spaces in the case that the decay order of tail probability is $r$ for some $0 < r < 2$. Moreover, we extend results concerning Pareto-Zipf distributions and St. Petersburg game.
Keywords: infinite moments, weak law of large numbers, coordinatewise pairwise NQD random vectors, Hilbert spaces, weighted sums
MSC numbers: Primary 60F15, 60G50
Supported by: This research has been supported by the Vietnam National University, Hanoi (grant no. QG.16.09).
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