Summability of double independent random variables

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Atıf İçin Kopyala

Patterson R. F., Savaş E.

Journal of Inequalities and Applications, cilt.2008, 2008 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 2008
• Basım Tarihi: 2008
• Doi Numarası: 10.1155/2008/948195
• Dergi Adı: Journal of Inequalities and Applications
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Uşak Üniversitesi Adresli: Hayır

Özet

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.