title: Complete moment convergence and mean convergence for arrays of rowwise extended negatively dependent random variables.
abstract: The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).
authors.affiliation: College of Mathematics and Computer Science, Tongling University, Tongling 244000, China.
authors.forename: Yongfeng
authors.identifier: 0000-0003-3436-8439
authors.initials: Y
authors.lastname: Wu
authors.affiliation: College of Mathematics and Computer Science, Tongling University, Tongling 244000, China.
authors.forename: Mingzhu
authors.initials: M
authors.lastname: Song
authors.affiliation: Department of Mathematics and Physics, Anhui Traditional Chinese Medical College, Hefei 230051, China.
authors.forename: Chunhua
authors.identifier: 0000-0002-2179-1150
authors.initials: C
authors.lastname: Wang
mesh_terms: D000704:Analysis of Variance; D008432:Mathematical Computing; D055641:Mathematical Concepts; D017711:Nonlinear Dynamics