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has been cited by the following article:
TITLE: Complete Convergence and Weak Law of Large Numbers for ρ-Mixing Sequences of Random Variables
AUTHORS: Qunying Wu
KEYWORDS: ρ-Mixing Sequence of Random Variables; Complete Convergence; Weak Law of Large Number
JOURNAL NAME: Open Journal of Statistics, Vol.2 No.5, December 19, 2012
ABSTRACT: In this paper, the complete convergence and weak law of large numbers are established for ρ-mixing sequences of random variables. Our results extend and improve the Baum and Katz complete convergence theorem and the classical weak law of large numbers, etc. from independent sequences of random variables to ρ-mixing sequences of random variables without necessarily adding any extra conditions.