On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables

We prove the strong law of large numbers for weighted sums ∑i=1n‍aniXi, which generalizes and improves the corresponding one for independent and identically distributed random variables and φ-mixing random variables. In addition, we present some results on complete convergence for weighted sums of ρ...

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Bibliographic Details
Main Authors: Aiting Shen, Xinghui Wang, Huayan Zhu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/947487