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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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:	extropy uncertainty varextropy residual lifetime
Online Access:	https://www.mdpi.com/1099-4300/23/3/356

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record_format	Article
spelling	doaj-f58df0c11b8e4d7b869d9f3662e6203b2021-03-18T00:02:51ZengMDPI AGEntropy1099-43002021-03-012335635610.3390/e23030356Results on Varextropy Measure of Random VariablesNastaran Marzban Vaselabadi0Saeid Tahmasebi1Mohammad Reza Kazemi2Francesco Buono3Department of Statistics, Persian Gulf University, Bushehr 7516913817, IranDepartment of Statistics, Persian Gulf University, Bushehr 7516913817, IranDepartment of Statistics, Faculty of Science, Fasa University, Fasa 7461686131, IranDipartimento di Matematica e Applicazioni “Renato Caccioppoli”, Università degli Studi di Napoli Federico II, I-80126 Naples, ItalyIn 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.https://www.mdpi.com/1099-4300/23/3/356extropyuncertaintyvarextropyresidual lifetime
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nastaran Marzban Vaselabadi Saeid Tahmasebi Mohammad Reza Kazemi Francesco Buono
spellingShingle	Nastaran Marzban Vaselabadi Saeid Tahmasebi Mohammad Reza Kazemi Francesco Buono Results on Varextropy Measure of Random Variables Entropy extropy uncertainty varextropy residual lifetime
author_facet	Nastaran Marzban Vaselabadi Saeid Tahmasebi Mohammad Reza Kazemi Francesco Buono
author_sort	Nastaran Marzban Vaselabadi
title	Results on Varextropy Measure of Random Variables
title_short	Results on Varextropy Measure of Random Variables
title_full	Results on Varextropy Measure of Random Variables
title_fullStr	Results on Varextropy Measure of Random Variables
title_full_unstemmed	Results on Varextropy Measure of Random Variables
title_sort	results on varextropy measure of random variables
publisher	MDPI AG
series	Entropy
issn	1099-4300
publishDate	2021-03-01
description	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.
topic	extropy uncertainty varextropy residual lifetime
url	https://www.mdpi.com/1099-4300/23/3/356
work_keys_str_mv	AT nastaranmarzbanvaselabadi resultsonvarextropymeasureofrandomvariables AT saeidtahmasebi resultsonvarextropymeasureofrandomvariables AT mohammadrezakazemi resultsonvarextropymeasureofrandomvariables AT francescobuono resultsonvarextropymeasureofrandomvariables
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Results on Varextropy Measure of Random Variables

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