The XLindley Distribution: Properties and Application

The XLindley Distribution: Properties and Application

This paper proposes a new distribution called XLindley distribution (XLD), this distribution is generated as a special mixture of two distributions: exponential and Lindley and hence the name proposed. Also, the statistical properties like stochastic ordering, quantile function, the maximum likeliho...

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Bibliographic Details
Main Authors: Sarra Chouia, Halim Zeghdoudi
Format: Article
Language:English
Published: Atlantis Press 2021-07-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Exponential distribution
Lindley distribution
quantile function
method of moment
maximum likelihood method
simulation
Online Access:https://www.atlantis-press.com/article/125958461/view
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spelling doaj-dbff37c9f66e434aba20a5e6b1dc71fb2021-07-18T05:49:51ZengAtlantis PressJournal of Statistical Theory and Applications (JSTA)2214-17662021-07-0120210.2991/jsta.d.210607.001The XLindley Distribution: Properties and ApplicationSarra ChouiaHalim ZeghdoudiThis paper proposes a new distribution called XLindley distribution (XLD), this distribution is generated as a special mixture of two distributions: exponential and Lindley and hence the name proposed. Also, the statistical properties like stochastic ordering, quantile function, the maximum likelihood method and method of moments. An application of the model to a real data set presented finally and compared with the fit and shows that XLD has more flexibility than others one-parameter distributions.https://www.atlantis-press.com/article/125958461/viewExponential distributionLindley distributionquantile functionmethod of momentmaximum likelihood methodsimulation
collection DOAJ
language English
format Article
sources DOAJ
author Sarra Chouia
Halim Zeghdoudi
spellingShingle Sarra Chouia
Halim Zeghdoudi
The XLindley Distribution: Properties and Application
Journal of Statistical Theory and Applications (JSTA)
Exponential distribution
Lindley distribution
quantile function
method of moment
maximum likelihood method
simulation
author_facet Sarra Chouia
Halim Zeghdoudi
author_sort Sarra Chouia
title The XLindley Distribution: Properties and Application
title_short The XLindley Distribution: Properties and Application
title_full The XLindley Distribution: Properties and Application
title_fullStr The XLindley Distribution: Properties and Application
title_full_unstemmed The XLindley Distribution: Properties and Application
title_sort xlindley distribution: properties and application
publisher Atlantis Press
series Journal of Statistical Theory and Applications (JSTA)
issn 2214-1766
publishDate 2021-07-01
description This paper proposes a new distribution called XLindley distribution (XLD), this distribution is generated as a special mixture of two distributions: exponential and Lindley and hence the name proposed. Also, the statistical properties like stochastic ordering, quantile function, the maximum likelihood method and method of moments. An application of the model to a real data set presented finally and compared with the fit and shows that XLD has more flexibility than others one-parameter distributions.
topic Exponential distribution
Lindley distribution
quantile function
method of moment
maximum likelihood method
simulation
url https://www.atlantis-press.com/article/125958461/view
work_keys_str_mv AT sarrachouia thexlindleydistributionpropertiesandapplication
AT halimzeghdoudi thexlindleydistributionpropertiesandapplication
AT sarrachouia xlindleydistributionpropertiesandapplication
AT halimzeghdoudi xlindleydistributionpropertiesandapplication
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