On Approximation for Inverse Moments of Nonnegative Random Variables

Abstract

Abstract—The asymptotic approximation for the -th inverse
moments of nonnegative random variables is obtained under very
mild conditions. The main results include those results in [Wu, T.
J., Shi, X. P. and Miao, B.Q., 2009. Asymptotic approximation of
inverse moments of nonnegative random variables. Statist.
Probab. Letter, 79, 1366-1371] and [Shi, X. P., Wu, Y. H., Liu, Y.,
2010. A note on asymptotic approximations of inverse moments of
nonnegative random variables, Statist. Probab. Letter, 80,
1260-1264].