Original scientific paper

https://doi.org/10.3336/gm.49.2.16

Complete convergence and complete moment convergence for arrays of rowwise END random variables

Yongfeng Wu orcid.org/0000-0003-3436-8439 ; Center for Financial Engineering and School of Mathematical Sciences, Soochow University, Suzhou 215006, China and College of Mathematics and Computer Science, Tongling University, Tongling 244000, China
Manuel Ordóñez Cabrera orcid.org/0000-0002-3735-6030 ; Department of Mathematical Analysis, University of Sevilla, 41080 Sevilla, Spain
Andrei Volodin ; Department of Mathematics and Statistics, University of Regina, S4S 0A2 Saskatchewan, Canada

Abstract

The authors study complete convergence and complete moment convergence for arrays of rowwise extended negatively dependent (END) random variables and obtain some new results. The results extend and improve the corresponding theorems by Sung (2005), Hu and Taylor (1997), Hu et al. (1989), and Chow (1988).

Keywords

Extended negatively dependent random variable; complete convergence; complete moment convergence

Hrčak ID:

130896

URI

https://hrcak.srce.hr/130896

Publication date:

18.12.2014.

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