Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 948195, 12 pages
Summability of Double Independent Random Variables
1Department of Mathematics and Statistics, University of North Florida, 1 UNF Drive, Jacksonville, FL 32224, USA
2Department of Mathematics, Istanbul commerce University, Uskudar, 34672 Istanbul, Turkey
Received 21 May 2008; Accepted 1 July 2008
Academic Editor: Jewgeni Dshalalow
Copyright © 2008 Richard F. Patterson and Ekrem Savaş. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We will examine double sequence to double sequence transformation
of independent identically distribution random variables with respect
to four-dimensional summability matrix methods. The main goal of this
paper is the presentation of the following theorem. If , , then and imply that almost sure P-convergence.