A note on the Chover-type law of the iterated logarithm for the weighted partial sums of [formula omitted]-mixing sequences

Abstract

Let {Xi,i≥1} be a sequence of α-mixing random variables, {ani,1≤i≤n,n≥1} be an array of real numbers, under the restriction of ∑i=1nani2=O(n), for all n≥1, the authors discuss the Chover-type law of the iterated logarithm for the weighted partial sums of α-mixing sequences. The results obtained improve and generalize the results by Trapani (2014).