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Published on: October 11, 2018
Results on Varextropy Measure of Random Variables
Nastaran Marzban Vaselabadi1, Saeid Tahmasebi1, Mohammad Reza Kazemi2
1Department of Statistics, Persian Gulf University, Bushehr 7516913817, Iran.
Abstract:
In 2015, Lad, Sanfilippo and Agrò proposed an alternative measure of uncertainty dual to the entropy known as extropy. This paper provides some results on a dispersion measure of extropy of random variables which is called varextropy and studies several properties of this concept. Especially, the varextropy measure of residual and past lifetimes, order statistics, record values and proportional hazard rate models are discussed. Moreover, the conditional varextropy is considered and some properties of this measure are studied. Finally, a new stochastic comparison method, named varextropy ordering, is introduced and some of its properties are presented.
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