%0 Journal Article
%A WANG Fang
%A CHENG Shihong
%T A Law of the Iterated Logarithm for the Heavily Trimmed Sums
%D 2001
%R
%J Acta Scientiarum Naturalium Universitatis Pekinensis
%P 289-293
%V 37
%N 3
%X Let{*X*_{n}, *n*≥1} be a sequence of i.i.d. random variables with common d.f.*F*(*x*). *X*_{1, n}≤…≤*X*_{n, n}}are its order statistics. *Q*is the quantile function of *F*. It is shown that for any underlying distribution function *F*, the LIL for the heavily trimmed sums remains true, as long as *λ* and 1-*λ*are continuity points of *Q* and *σ*(*λ*)>0. Moreover, a strong approximation result is obtained in this case.
%U https://xbna.pku.edu.cn/EN/abstract/article_1151.shtml