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Journal of Inequalities and Applications
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Summability of Double Independent Random Variables

Journal of Inequalities and Applications volume 2008, Article number: 948195 (2008) Cite this article

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 , , then and imply that almost sure P-convergence.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of North Florida, 1 UNF Drive, Jacksonville, FL, 32224, USA

    Richard F. Patterson

  2. Department of Mathematics, Istanbul commerce University, Uskudar, 34672, Istanbul, Turkey

    Ekrem Savaş

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  1. Richard F. Patterson
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  2. Ekrem Savaş
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Correspondence to Richard F. Patterson.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Patterson, R.F., Savaş, E. Summability of Double Independent Random Variables. J Inequal Appl 2008, 948195 (2008). https://doi.org/10.1155/2008/948195

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  • DOI: https://doi.org/10.1155/2008/948195

Keywords

  • Independent Random Variable
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