An almost sure central limit theorem for self-normalized weighted sums of the φ mixing random variables

Abstract

Abstract. In this paper, an almost sure central limit theorem is obtained for self-normalized weighted sums of the φ mixing random variables. Our results extend and give substantial improvement for the result obtained by Zhang [12] and our results also extend the earlier work on almost sure central limit theorem such as Wu [13].Mathematics subject classification (2010): 60F15.