Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (3): 544-552.

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A General Result of Precise Asymptotics in Complete Moment Convergence for ρ-mixing Sequence

Fu Zongkui1, Wu Qunying2   

  1. 1. Institute of Mathematics and Computer, Xinyang College, Henan Xinyang 464000;
    2 College of Science, Guilin University of Technology, Guangxi Guilin 541004
  • Received:2016-09-27 Revised:2017-01-21 Online:2017-06-26 Published:2017-06-26
  • Supported by:
    Supported by the NSFC (11361019) and the Natural Science Foundation of Key Project of Guanxi (2013GXNSFDA019001)

Abstract: Let X,Xn;n ≥ 1 be a strictly stationary sequence of ρ-mixing random variables with mean zeros, if some conditions are satisfied, by the weak convergence theorem and moment inequalities of ρ-mixing random variables, a general result on precise asymptotics for ρ-mixing random variables, then the known results of this field are improved and extended.

Key words: Precise asymptotic, Complete moment convergence, ρ-Mixing random variables

CLC Number: 

  • O211.4
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