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Almost sure limit theorems for the maximum of Gaussian sequences#br# with optimized weight

LIU Yan-ping, WU Qun-ying   

  1. College of Science, Guilin University of Technology, Guilin 541004, Guangxi, China
  • Received:2014-01-09 Online:2014-05-20 Published:2014-06-04

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Abstract: Consider maximum Gaussian sequences almost sure convergence. An almost sure limit theorem is obtained for the maximum of stationary Gaussian sequences with optimized weight(ASCLT).The results generalize Csáki and Gonchigdanzan (2002) on the almost sure limit theorem for the maximum of stationary Gaussian sequences with logarithmic mean.

Key words: stationary Gaussian sequence, almost sure central limit theorem, weight

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