Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces

2012 ◽  
Vol 82 (11) ◽  
pp. 1978-1985 ◽  
Author(s):  
Ta Cong Son ◽  
Dang Hung Thang ◽  
Le Van Dung
Keyword(s):  
Banach Spaces ◽  
Complete Convergence ◽  
Moving Average ◽  
Martingale Difference ◽  
Difference Fields

scholarly journals Complete convergence for weighted sums of pairwise independent random variables

2017 ◽  
Vol 15 (1) ◽  
pp. 467-476
Author(s):  
Li Ge ◽  
Sanyang Liu ◽  
Yu Miao
Keyword(s):  
Rate Of Convergence ◽  
Complete Convergence ◽  
Moving Average ◽  
Random Variables ◽  
Independent Random Variables ◽  
Weighted Sums ◽  
Pairwise Independent Random Variables ◽  
Moving Average Processes

Abstract In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.

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