φ混合序列,完全收敛性,完全矩收敛性," /> φ混合序列,完全收敛性,完全矩收敛性,"/> φ-mixing random variables,"/> Complete moment convergence for sequences of <em><span style="border-top: 1px solid; padding-top: 0px">φ</span></em> mixing random variables

JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (04): 14-19.doi: 10.6040/j.issn.1671-9352.0.2014.177

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Complete moment convergence for sequences of φ mixing random variables

ZHENG Lu-lu, GE Mei-mei, LIU Yan-fang, WANG Xue-jun   

  1. School of Mathematical Science, Anhui University, Hefei 230601, Anhui, China
  • Received:2014-04-23 Revised:2014-09-30 Online:2015-04-20 Published:2015-04-17

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Abstract: Under some suitable moment conditions, the complete moment convergence for sequences of φ-mixing random variables was investigated by using the moment inequality of φ-mixing random variables and the truncated method. The result obtained in this paper extends the corresponding ones for independent random variables and φ-mixing random variables. In addition, the complete convergence is improved to complete moment convergence.

Key words: complete moment convergence, complete convergence, φ-mixing random variables')">sequences of φ-mixing random variables

CLC Number: 

  • O211.4
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