Glasnik Matematicki, Vol. 49, No. 2 (2014), 447-466.

COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF ROWWISE END RANDOM VARIABLES

Yongfeng Wu, Manuel Ordóñez Cabrera and Andrei Volodin

Department of Mathematical Analysis, University of Sevilla, 41080 Sevilla, Spain
e-mail: cabrera@us.es

Department of Mathematics and Statistics, University of Regina, S4S 0A2 Saskatchewan, Canada
e-mail: Andrei.Volodin@uregina.ca

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).

2010 Mathematics Subject Classification.   60F15.

Key words and phrases.   Extended negatively dependent random variable, complete convergence, complete moment convergence.

DOI: 10.3336/gm.49.2.16

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