JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (6): 24-29.doi: 10.6040/j.issn.1671-9352.0.2015.386

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Almost sure central limit theorem for arrays of random variables

LIU Yang1, FENG Zhi-wei1, CHEN Ping-yan2*   

  1. 1.Department of Statistics, Jinan University, Guangzhou 510630, Guangdong, China;
    2. Department of Mathematics, Jinan University, Guangzhou 510630, Guangdong, China
  • Received:2015-08-10 Online:2016-06-20 Published:2016-06-15

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Abstract: It is different between sequence and array of random variables on the almost sure central limit theorem, and the selection of its weight coefficient has certain requirements. In this paper, we study two kinds of different weight selection conditions for arrays of random variables, and obtain the almost sure central limit theorems and inferences for arrays of random variables.

Key words: weight, array of random variables, almost sure central limit theorem

CLC Number: 

  • O211.4
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