摘要
In this paper,we extend the Kolmogorov-type inequality to the case of ψ-mixing sequences.Moreover,we study the strong limit theorems for partial sums of ψ-mixing random variables.As a result,we extend the Khintchine-Kolmogorov-type convergence theorem,the three series theorem,Marcinkiewicz strong law of large number to the case of ψ-mixing sequences.
In this paper,we extend the Kolmogorov-type inequality to the case of ψ-mixing sequences.Moreover,we study the strong limit theorems for partial sums of ψ-mixing random variables.As a result,we extend the Khintchine-Kolmogorov-type convergence theorem,the three series theorem,Marcinkiewicz strong law of large number to the case of ψ-mixing sequences.
基金
Supported by the National Natural Science Foundation of China (Grant No.10871001)
Provincial Natural Science Research Project of Anhui Colleges (Grant No.KJ2010A005)
Talents Youth Fund of Anhui Province Universities(Grant No.2010SQRL016ZD)
Youth Science Research Fund of Anhui University (Grant No.2009QN011A)
the Academic innovation team of Anhui University (Grant No.KJTD001B)
