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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Veröffentlicht in:Journal of Statistical Theory and Applications 2021-06, Vol.20 (2), p.318-327
Hauptverfasser: Chouia, Sarra, Zeghdoudi, Halim
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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.
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subjects Exponential distribution
Lindley distribution
maximum likelihood method
method of moment
Method of moments
quantile function
Research Article
simulation
title The XLindley Distribution: Properties and Application
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