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Convergence of weighted averages of associated random variables
Convergence of weighted averages associated random variables
2009/9/22
We study the almost sure convergence of weighted
averages of associated and negatively associated random variables.
Our theorems extend and generalize strong laws of large numbers for
positively an...
On the almost sure central limit theorem for associated random variables
the almost sure central limit theorem associated random variables
2009/9/22
The aim of this note is to prove the strong version of
the CLT for associated sequences without any strong approximation
theorems. In the proofs we only apply the weighted convergence result
for av...
Convergence rates in the strong law for associated random variables
Convergence rates in the strong law associated random variables
2009/9/22
We prove the Marcinkiewicz-Zygmund SLLN (MZ-
-SLLN) of order p, ~ � 1 12,[ , br associated sequences, not necessarily
stationary. Our assumption on the moment of the random variables is
minimal. We...
An exponential inequality for negatively associated random variables
Covariance function Exponential inequality Negative association
2009/9/16
We prove an exponential inequality for negatively associated and strictly stationary random variables. A condition is given for almost sure convergence and the associated rate of convergence is specif...