scholarly journals Preliminary results for introducing dependent random variables in stochastic feasibility analysis on CAN

2008 ◽  
Author(s):  
Liliana Cucu
Keyword(s):  
Random Variables ◽  
Feasibility Analysis ◽  
Dependent Random Variables ◽  
Preliminary Results

scholarly journals On Some Conditions for Strong Law of Large Numbers for Weighted Sums of END Random Variables under Sublinear Expectations

2019 ◽  
Vol 2019 ◽  
pp. 1-8
Author(s):  
Xiaochen Ma ◽  
Qunying Wu
Keyword(s):  
Probability Space ◽  
Law Of Large Numbers ◽  
Random Variables ◽  
Weighted Sums ◽  
Dependent Random Variables ◽  
Strong Law ◽  
Sublinear Expectation ◽  
Negatively Dependent Random Variables ◽  
Large Numbers ◽  
End Random Variables

In this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space. Our consequences contain the Kolmogorov strong law of large numbers and the Marcinkiewicz strong law of large numbers for weighted sums of extended negatively dependent random variables. Furthermore, our results extend strong law of large numbers for some sequences of random variables from the traditional probability space to the sublinear expectation space context.

Some preliminary results on conditionally ψ-mixing sequences of random variables

Stochastics ◽  
2014 ◽  
Vol 87 (2) ◽  
pp. 326-346
Author(s):  
Demei Yuan ◽  
Shunjing Li ◽  
Bao Tao
Keyword(s):  
Random Variables ◽  
Preliminary Results ◽  
Mixing Sequences
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