Strong Laws of Large Numbers for Arrays of Rowwise Conditionally Negatively Dependent Random Variables - Advances in Pure Mathematics

APM > Vol.3 No.7, October 2013

Advances in Pure Mathematics

Volume 3, Issue 7 (October 2013)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.49 Citations h5-index & Ranking

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

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Download as PDF (Size: 108KB) PP. 625-626

DOI: 10.4236/apm.2013.37081 3,489 Downloads 5,133 Views

Author(s)

Ronald Patterson, Tamika Royal-Thomas, Wanda Patterson

Affiliation(s)

Department of Mathematics, Winston-Salem State University, Winston-Salem, USA.

ABSTRACT

Let {X_nk} 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.

KEYWORDS

Negative Dependence; Complete Convergence

Share and Cite:

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.

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