On the strong convergence for weighted sums of ρ *-mixing random variables

2012 ◽  
Vol 54 (3) ◽  
pp. 773-781 ◽  
Author(s):  
Soo Hak Sung
Keyword(s):  
Strong Convergence ◽  
Random Variables ◽  
Weighted Sums ◽  
Mixing Random Variables

scholarly journals A Note on the Rate of Strong Convergence for Weighted Sums of Arrays of Rowwise Negatively Orthant Dependent Random Variables

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Qingxia Zhang ◽  
Dingcheng Wang
Keyword(s):  
Strong Convergence ◽  
Open Problem ◽  
Random Variables ◽  
Weighted Sums ◽  
Dependent Random Variables

Let{Xni;i≥1,n≥1}be an array of rowwise negatively orthant dependent (NOD) random variables. The authors discuss the rate of strong convergence for weighted sums of arrays of rowwise NOD random variables and solve an open problem posed by Huang and Wang (2012).

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