Odd Burr Power Lindley Distribution with Properties and Applications

Year 2017, Volume: 30 Issue: 3, 139 - 159, 20.09.2017

Emrah Altun , Morad Alizadeh , Gamze Ozel

Abstract

We introduce a four-parameter distribution, called odd
Burr power Lindley distribution, which extends the Lindley distribution and has
increasing, upside-down and bathtub shapes for the hazard rate function. Our
purpose is to provide a generalization that may be useful to still more complex
situations. It includes as special sub-models some well-known distributions
such as Lindley, power Lindley, odd log-logistic Lindley, among others. Several
statistical properties of the distribution are explored. A simulation study is
performed to assess the maximum likelihood estimations of introduced
distribution parameters in terms of bias and mean square error, estimated
average length and coverage probability.

Keywords

maximum likelihood estimation, simulation, quantile function, moment

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