Extended exponentiated power  Lindley distribution

V.  Ranjbar; M.  Alizadeh; G. G.  Hamedani

doi:https://doi.org/10.21307/stattrans-2018-033

Extended exponentiated power Lindley distribution

V. Ranjbar Golestan University, Gorgan, Iran , M. Alizadeh Persian Gulf University, Bushehr, Iran , G. G. Hamedani Marquette University, Milwaukee, USA Statistics in Transition new series, vol. 19, 2018, 4, pages: 621-644 Published online: 3 December 2018 https://doi.org/10.21307/stattrans-2018-033

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ABSTRACT

In this study, we introduce a new model called the Extended Exponentiated Power Lindley distribution which extends the Lindley distribution and has increasing, bathtub and upside down shapes for the hazard rate function. It also includes the power Lindley distribution as a special case. Several statistical properties of the distribution are explored, such as the density, hazard rate, survival, quantile functions, and moments. Estimation using the maximum likelihood method and inference on a random sample from this distribution are investigated. A simulation study is performed to compare the performance of the different parameter estimates in terms of bias and mean square error. We apply a real data set to illustrate the applicability of the new model. Empirical findings show that proposed model provides better fits than other well-known extensions of Lindley distributions.

KEYWORDS

Power Lindley distribution, Structural properties, Failure-time, Maximum likelihood estimation.

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