Acta mathematica scientia, Series B >
ASYMPTOTIC PROPERTIES OF THE MOMENT CONVERGENCE FOR NA SEQUENCES
Received date: 2011-12-02
Revised date: 2013-08-21
Online published: 2014-03-20
Supported by
This work is supported by National Natural Science Foundation of China (11171303, 61273093) and the Specialized Research Fund for the Doctor Program of Higher Education (20090101110020).
It is well-known that the complete convergence theorem for i.i.d. random vari-ables has been an active topic since the famous work done by Hsu and Robbins [6]. Chow [4]obtained a moment version of Hsu and Robbins series. However, the series tends to infinity whenever ε goes to zero, so it is of interest to investigate the asymptotic behavior of the series
as ε goes to zero. This note gives some limit theorems of the series generated by moments for NA random variables.
ZHAO Yue-Xu . ASYMPTOTIC PROPERTIES OF THE MOMENT CONVERGENCE FOR NA SEQUENCES[J]. Acta mathematica scientia, Series B, 2014 , 34(2) : 301 -312 . DOI: 10.1016/S0252-9602(14)60006-0
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