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On the characterisation of X-Lindley distribution by truncated moments. Properties and application

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METIRI F., ZEGHDOUDI H., EZZEBSA A.
Operations Research and Decisions
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2022
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vol. 32
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issue 1
97-109
EN
This paper presents the characterisation of X-Lindley distribution using the relation between truncated moment and failure rate/reverse failure rate function. An application of this distribution to real data of survival times (in days) of 92 Algerian individuals infected with coronavirus is given.
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A Two-Parameter Lindley Distribution

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Shanker R., Mishra A.
Statistics in Transition new series
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2013
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vol. 14
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issue 1
45-56
EN
A two-parameter Lindley distribution, of which the Lindley distribution (LD) is a particular case, has been introduced. Its moments, failure rate function, mean residual life function and stochastic orderings have been discussed. The maximum likelihood method and the method of moments have been discussed for estimating its parameters. The distribution has been fitted to some data-sets to test its goodness of fit.
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