New polynomial exponential distribution: properties and applications

A Beghriche, H Zeghdoudi, V Raman… - Statistics in Transition new …, 2022 - ceeol.com
A Beghriche, H Zeghdoudi, V Raman, S Chouia
Statistics in Transition new series, 2022ceeol.com
The study describes the general concept of the XLindley distribution. Forms of density
andhazard rate functions are investigated. Moreover, precise formulations for several
numericalproperties of distributions are derived. Extreme order statistics are established
usingstochastic ordering, the moment method, the maximum likelihood estimation,
entropiesand the limiting distribution. We demonstrate the new family's adaptability by
applying itto a variety of real-world datasets.
The study describes the general concept of the XLindley distribution. Forms of density andhazard rate functions are investigated. Moreover, precise formulations for several numericalproperties of distributions are derived. Extreme order statistics are established usingstochastic ordering, the moment method, the maximum likelihood estimation, entropiesand the limiting distribution. We demonstrate the new family's adaptability by applying itto a variety of real-world datasets.
Central and Eastern European Online Library
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