A note on weak laws of large numbers for arrays of rowwise negatively quadrant dependent random variables

2003 ◽  
Vol 13 (7) ◽  
pp. 557
Author(s):  
Zhengyan LIN
Keyword(s):  
Random Variables ◽  
Dependent Random Variables ◽  
Laws Of Large Numbers ◽  
Large Numbers ◽  
Weak Laws

scholarly journals Weak laws of large numbers for arrays of rowwise negatively dependent random variables

2001 ◽  
Vol 14 (3) ◽  
pp. 227-236 ◽  
Author(s):  
R. L. Taylor ◽  
R. F. Patterson ◽  
A. Bozorgnia
Keyword(s):  
Random Variables ◽  
Negative Dependence ◽  
Dependent Random Variables ◽  
Moment Conditions ◽  
General Hypothesis ◽  
Laws Of Large Numbers ◽  
Negatively Dependent Random Variables ◽  
Large Numbers ◽  
Weak Laws ◽  
The Moment

Weak laws of large numbers for arrays of rowwise negatively dependent random variables are obtained in this paper. The more general hypothesis of negative dependence relaxes the usual assumption of independence. The moment conditions are similar to previous results, and the stochastic bounded condition also provides a generalization of the usual distributional assumptions.

Laws of large numbers for q-dependent random variables and nonextensive statistical mechanics

2017 ◽  
Vol 31 (15) ◽  
pp. 1750117
Author(s):  
Marco A. S. Trindade
Keyword(s):  
Statistical Mechanics ◽  
Stochastic Processes ◽  
Law Of Large Numbers ◽  
Random Variables ◽  
Nonextensive Statistical Mechanics ◽  
Dependent Random Variables ◽  
Strong Law ◽  
Laws Of Large Numbers ◽  
Large Numbers

In this work, we prove a weak law and a strong law of large numbers through the concept of [Formula: see text]-product for dependent random variables, in the context of nonextensive statistical mechanics. Applications for the consistency of estimators are presented and connections with stochastic processes are discussed.

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