Summability of double independent random variables
Journal of Inequalities and Applications, vol.2008, 2008 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2008
- Publication Date: 2008
- Doi Number: 10.1155/2008/948195
- Journal Name: Journal of Inequalities and Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- İstanbul Ticaret University Affiliated: Yes
Abstract
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 max k,l | a m,n,k,l |= max k,l | a m,k a n,l |=O(m - 1)O(n - 2), 1, 2 >0, then E| X | 1+ 1/ 1 <∞ and E| X | 1+ 1/ 2 <∞ imply that Y m,n → almost sure P-convergence.