On Complete Convergence for Weighted Sums of φ-Mixing Random Variables. (6th July 2010)

• Record Type: Journal Article
• Authors: Xuejun, Wang; Shuhe, Hu; Wenzhi, Yang; Yan, Shen
• Other Names: Volodin Andrei Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2010(2010)
• Publication Date: 2010-07-06
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2010/372390
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : Some results on complete convergence for weighted sums∑ i = 1 n a n i X i are presented, where{ X n, n ≥ 1 } is a sequence ofφ -mixing random variables and{ a n i, n ≥ 1, i ≥ 1 } is an array of constants. They generalize the corresponding results fori . i . d sequence to the case ofφ -mixing sequence.