JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (07): 75-79.doi: 10.6040/j.issn.1671-9352.0.2014.015

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The limit law of the single logarithm for arrays

FENG Zhi-wei   

  1. Department of Statistics, Jinan University, Guangzhou 510630, Guangdong, China
  • Received:2014-01-09 Online:2014-07-20 Published:2014-09-15

Abstract: The limit law of the single logarithm by arrays of i.i.d random variables is obtained through the strong approximations, deepening the existing result. And the similar result is got in Banach space setting.

Key words: array of random variables, random element, the limit law of the single logarithm, the law of the single logarithm

CLC Number: 

  • O211.4
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[1] LIU Yang, FENG Zhi-wei, CHEN Ping-yan. Almost sure central limit theorem for arrays of random variables [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(6): 24-29.
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