Characterization of General Class of Distributions by Truncated Moment

Abstract

In this paper characterization studies are based on truncated moments for two general classes of continuous distributions. Characterization properties are discussed using a continuous function based on truncation from the right for a class of distributions, then the result is applied to the right truncated k^th moment for some distributions belonging to this class. A similar study is also carried out when truncation is from the left for another form of general class of distributions, and result is applied to the left truncated k^thinverse moment for some distributions belonging to this class. The results are obtained in simple and explicit manner which also unifies the earlier results obtained by several authors.