Complete Moment Convergence for Negatively Dependent Sequences of Random Variables

We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX=0,  Eexp⁡|X|α<∞,  0<α<1, and Eexp⁡|X|ln-r⁡|X|<∞,  r>0. As a result, we establish the new complete moment convergence theorems.

Bibliographic Details
Main Authors: Qunying Wu, Yuanying Jiang
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/9039345