Original scientific paper

https://doi.org/10.3336/gm.50.1.15

Strong convergence for m-pairwise negatively quadrant dependent random variables

Yongfeng Wu orcid.org/0000-0003-3436-8439 ; College of Mathematics and Computer Science, Tongling University, 244000 Tongling, China, and, Center for Financial Engineering and School of Mathematical Sciences, Soochow University, 215006 Suzhou, China
Andrew Rosalsky orcid.org/0000-0002-7011-4447 ; Department of Statistics, University of Florida, Gainesville, FL 32611, USA

Abstract

Complete convergence and the Marcinkiewicz-Zygmund strong law of large numbers for sequences of m-pairwise negatively quadrant dependent (m-PNQD) random variables is studied in this paper. The results obtained extend and improve the corresponding theorems of Choi and Sung ([4]) and Hu et al. ([9]). A version of the Kolmogorov strong law of large numbers for sequences of m-PNQD random variables is also obtained.

Keywords

m-pairwise negatively quadrant dependent random variables; complete convergence; strong law of large numbers

Hrčak ID:

140105

URI

https://hrcak.srce.hr/140105

Publication date:

15.6.2015.

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