Odd Burr Power Lindley Distribution with Properties and Applications

Authors : Emrah Altun, Morad Alizadeh, Gamze Ozel

Pages : 139-159

View : 15 | Download : 12

Publication Date : 2017-09-20

Article Type : Research Paper

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