scholarly journals Strong Convergence Properties and Strong Stability for Weighted Sums of AANA Random Variables

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Zhiyong Chen ◽  
Shuhe Hu ◽  
Jimin Ling ◽  
Xuejun Wang
Keyword(s):  
Strong Convergence ◽  
Random Variables ◽  
Strong Stability ◽  
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).

scholarly journals Negative dependence for fuzzy random variables: Basic definitions and some limit theorems

Filomat ◽  
2016 ◽  
Vol 30 (9) ◽  
pp. 2535-2549 ◽  
Author(s):  
H. Ahmadzade ◽  
M. Amini ◽  
S.M. Taheri ◽  
A. Bozorgnia
Keyword(s):  
Strong Convergence ◽  
Limit Theorems ◽  
Random Variables ◽  
Weighted Sums ◽  
Negative Dependence ◽  
Fuzzy Random Variables ◽  
Weak And Strong Convergence ◽  
Basic Properties ◽  
Direct Extension ◽  
Fuzzy Random

The concept of negative dependence for fuzzy random variables is introduced. The basic properties of such random variables are investigated. Some results on weak and strong convergence for sums and weighted sums of pairwise negatively dependent fuzzy random variables are derived. As a direct extension of classical methods, some limit theorems are established based on the concept of variance and covariance.

Convergence properties for weighted sums of NSD random variables

2016 ◽  
Vol 45 (8) ◽  
pp. 2402-2412 ◽  
Author(s):  
Aiting Shen ◽  
Xinghui Wang ◽  
Huayan Zhu
Keyword(s):  
Random Variables ◽  
Weighted Sums ◽  
Convergence Properties ◽  
Nsd Random Variables
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