Theory of Inverse Moments

Abstract

The characteristic function for inverse moments called the inverse characteristic function (inverse c.f.) is defined. Liafounov's inequality for inverse moments is obtained. Various properties, in particular, the uniqueness property (also called the inversion formula), limit and continuity properties, are studied. Illustrations are provided wherever necessary. Many results admit multivariate generalizations. Inverse order statistics are defined. Also, some applications of inverse moments are considered.

Cite this paper

@inproceedings{GovindarajuluTheoryOI, title={Theory of Inverse Moments}, author={Zakkula Govindarajulu} }