complete convergence;
negatively associated random variable;
Cesaro summation;
weighted sum;
D O I:
10.1016/S0167-7152(00)00002-X
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
We discuss complete convergence for weighted sums of negatively associated (NA) random variables. The result on i.i.d, case of Li et al. (J. Theoret. Probab. 8 (1995) 49-76) is generalized and extended. Also, Gut's (Probab. Theory Related Fields 97 (1993) 169-178) result on Cesaro summation of i.i.d, random variables is extended. (C) 2000 Elsevier Science B.V. All rights reserved.