G. B. Crawford, “Characterizations of Geometric and Exponential Distributions,” The Annals of Mathematical Statistics, Vol. 37, No. 6, 1966, pp. 1790-1795.
has been cited by the following article:
TITLE: Characterization of Negative Exponential Distribution through Expectation
AUTHORS: Milind Bhatt B.
KEYWORDS: Characterization; Negative Exponential Distribution
JOURNAL NAME: Open Journal of Statistics, Vol.3 No.5, October 9, 2013
ABSTRACT: For characterization of negative exponential distribution one needs any arbitrary non-constant function only in place of approaches such as identical distributions, absolute continuity, constant regression of order statistics, continuity and linear regression of order statistics, non-degeneracy etc. available in the literature. Path breaking different approach for characterization of negative exponential distribution through expectation of non-constant function of random variable is obtained. An example is given for illustrative purpose.