Author(s)

Qunying Wu

College of Science, Guilin University of Technology, Guilin, China.

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.

ρ-Mixing Sequence of Random Variables; Complete Convergence; Weak Law of Large Number

Q. Wu, "Complete Convergence and Weak Law of Large Numbers for ρ-Mixing Sequences of Random Variables," Open Journal of Statistics, Vol. 2 No. 5, 2012, pp. 484-490. doi: 10.4236/ojs.2012.25062.