Results on Varextropy Measure of Random Variables

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 va...

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Bibliographic Details
Main Authors: Nastaran Marzban Vaselabadi, Saeid Tahmasebi, Mohammad Reza Kazemi, Francesco Buono
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/3/356
Description
Summary: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.
ISSN:1099-4300