Strong convergence properties for weighted sums of WNOD random variables and its applications in nonparametric regression models

Stochastics ◽  
2020 ◽  
pp. 1-26 ◽  
Author(s):  
Aiting Shen ◽  
Xiang Li ◽  
Mingming Ning
Keyword(s):  
Strong Convergence ◽  
Nonparametric Regression ◽  
Regression Models ◽  
Random Variables ◽  
Weighted Sums ◽  
Convergence Properties

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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