A note on the Chover-type law of the iterated logarithm for the weighted partial sums of alpha-mixing sequences

作者：Cai, Guang-hui^*; Pan, Xue-yan

来源：Statistics & Probability Letters, 2015, 107: 150-156.

DOI：10.1016/j.spl.2015.08.013

• Weighted partial sums
• alpha-mixing sequences
• Chover-type law of the iterated logarithm

Let {Xi, i >= 1) be a sequence of alpha-mixing random variables, {a(ni), 1 <= i <= n, n >= 1} be an array of real numbers, under the restriction of Sigma(n)(i=1) a(ni)(2) = O(n), for all n >= 1, the authors discuss the Chover-type law of the iterated logarithm for the weighted partial sums of alpha-mixing sequences. The results obtained improve and generalize the results by Trapani (2014).

• 出版日期2015-12
• 单位浙江工商大学