Affiliation:
1. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
Abstract
Extropy has been discussed in many works of literature as a complementary
dual of Shannon?s entropy function. In this paper, a replacement procedure
of uncertainty of random variable, constructed on the cumulative
distribution function F, called cumulative extropy is proposed. Some
properties and features of the deemed measure are obtained. Moreover, the
dynamic form of cumulative extropy is considered. Finally, non-parametric
estimators for the proposed measure are included.
Publisher
National Library of Serbia