A Note on Strong Convergence of Sums of Dependent Random Variables. (7th December 2009)

• Record Type: Journal Article
• Authors: Hu, Tien-Chung; Weber, Neville C.
• Other Names: Al-Saleh Mohammad Fraiwan Academic Editor.
• Is Part Of: Journal of probability and statistics. Volume 2009(2009)
• Publication Date: 2009-12-07
• Subjects: Probabilities -- Periodicals; Mathematical statistics -- Periodicals; Mathematical statistics; Probabilities; Periodicals; 519
• DOI: 10.1155/2009/873274
• Languages: English
• ISSNs: 1687-952X

Abstract

Abstract : For a sequence of dependent square-integrable random variables and a sequence of positive constants{ b n, n ≥ 1 }, conditions are provided under which the series∑ i = 1 n ( X i − E X i ) / b i converges almost surely asn → ∞ . These conditions are weaker than those provided by Hu et al. (2008).