Strong Laws of Large Numbers for Arrays of Rowwise Conditionally Negatively Dependent Random Variables

Abstract

Let {Xnk} be an array of rowwise conditionally negative dependent random variables. Complete convergence of to 0 is obtained by using various conditions on the moments and conditional means.

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R. Patterson, T. Royal-Thomas and W. Patterson, "Strong Laws of Large Numbers for Arrays of Rowwise Conditionally Negatively Dependent Random Variables," Advances in Pure Mathematics, Vol. 3 No. 7, 2013, pp. 625-626. doi: 10.4236/apm.2013.37081.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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http://dx.doi.org/10.1080/07362999708809501
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http://dx.doi.org/10.1073/pnas.33.2.25
[4] R. Patterson, R. L. Taylor and A. Bozorgnia, “Strong Laws of Large Numbers for Arrays of Rowwise Conditionally Independent Random Variables,” Journal of Applied Mathematics and Stochastic Analysis, Vol. 6, No. 1, 1993, pp. 1-10.
http://dx.doi.org/10.1155/S1048953393000012

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