2007•Wuhan University Journal of Natural SciencesRequires access

Strong law of large numbers and complete convergence for sequences of φ-mixing random variables

Gan Shixin, Pingyan Chen, Dehua Qiu

Abstract

We give some theorems of strong law of large numbers and complete convergence for sequences of φ -mixing random variables. In particular, Wittmann’s strong law of large numbers and Teicher’s strong law of large nnumbers for independent random variables are generalized to the case of φ -minxing random variables.

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Key concepts: Law of large numbers, Mixing (physics), Mathematics, Random variable, Convergence of random variables, Convergence (economics), Proofs of convergence of random variables, Statistical physics