A general result on almost sure central limit theorem for self-normalized sums for mixing sequences(*)

作者：Zhang, Yong^*

来源：Lithuanian Mathematical Journal, 2013, 53(4): 471-483.

DOI：10.1007/s10986-013-9222-8

• almost sure central limit theorem
• self-normalized sums
• phi-mixing

Let X, X (1) , X (2) , . . . be a sequence of strictly stationary I center dot-mixing random variables with zero means. In this paper, we show that a self-normalized version of almost sure central limit theorem holds under the assumptions that the mixing coefficients satisfy ; moreover, we no longer restrict ourselves to logarithmic averages, but allow rather arbitrary weight sequences.

• 出版日期2013-10
• 单位吉林大学