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
Description
Summary: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.
ISSN:2214-1766

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