Further Refinement of Self-normalized Cram\a'{e}r-type moderate Deviations

Hailin Sang, Lin Ge

In this paper, we study the self-normalized Cram\a'{e}r-type moderate deviations for centered independent random variables $X_1,X_2,...$ with $0<E|X_i{|}^3<\infty$. The main resul…