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  • Research Article
  • Open Access

Maximal Inequalities for Dependent Random Variables and Applications

Journal of Inequalities and Applications20082008:598319

https://doi.org/10.1155/2008/598319

  • Received: 16 April 2008
  • Accepted: 7 July 2008
  • Published:

Abstract

For a sequence of dependent square integrable random variables and a sequence of positive numbers, we establish a maximal inequality for weighted sums of dependent random variables. Applying this inequality, we obtain the almost sure convergence of and .

Keywords

  • Full Article
  • Publisher Note
  • Dependent Random Variable
  • Maximal Inequality

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Applied Mathematics, Pai Chai University, Taejon, 302-735, South Korea

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