Characterization Based On Convex Conditional Mean Function

Authors

Ramesh C. Gupta, University of MaineFollow
S. N.U.A. Kirmani, University of Northern IowaFollow

Document Type

Article

Keywords

Non-linear differential equation, Order statistics, Record values, Truncated moments, Uniqueness

Journal/Book/Conference Title

Journal of Statistical Planning and Inference

Volume

138

Issue

4

First Page

964

Last Page

970

Abstract

This paper addresses the problem of characterizing a distribution by means of a convex conditional mean function. The characterization is proved, under mild conditions, by means of showing the uniqueness of the solution of a certain non-linear differential equation. © 2007.

Department

Department of Mathematics

Original Publication Date

4-1-2008

DOI of published version

10.1016/j.jspi.2007.03.059

Recommended Citation

Gupta, Ramesh C. and Kirmani, S. N.U.A., "Characterization Based On Convex Conditional Mean Function" (2008). Faculty Publications. 2454.
https://scholarworks.uni.edu/facpub/2454