SOME ALMOST SURE CONVERGENCE PROPERTIES OF WEIGHTED SUMS OF MARTINGALE DIFFERENCE SEQUENCES

1991 ◽  
pp. 179-190 ◽  
Author(s):  
Tze Leung Lai
Keyword(s):  
Almost Sure Convergence ◽  
Weighted Sums ◽  
Martingale Difference ◽  
Convergence Properties ◽  
Difference Sequences

scholarly journals Some Types of Convergence for Negatively Dependent Random Variables under Sublinear Expectations

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Ruixue Wang ◽  
Qunying Wu
Keyword(s):  
Probability Space ◽  
Complete Convergence ◽  
Random Variables ◽  
Almost Sure Convergence ◽  
Weighted Sums ◽  
Convergence Theorems ◽  
Dependent Random Variables ◽  
Sublinear Expectation ◽  
Negatively Dependent Random Variables

In this paper, we research complete convergence and almost sure convergence under the sublinear expectations. As applications, we extend some complete and almost sure convergence theorems for weighted sums of negatively dependent random variables from the traditional probability space to the sublinear expectation space.

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