Chover-type laws of the iterated logarithm for weightedsums ofρ∗-mixing sequences

[摘要] To derive a Baum-Katz-type result, we establish a Chover-type lawof the iterated logarithm for the weighted sums ofρ∗-mixing and identically distributed random variableswith a distribution in the domain of a stable law. Our resultobtained not only generalizes the main results of Peng and Qi(2003) and Qi and Cheng (1996) toρ∗-mixing sequencesof random variables, but also improves them.

[学科分类] 应用数学