Binomial-Discrete Lindley Distribution

Year 2019, Volume: 68 Issue: 1, 401 - 411, 01.02.2019

Coşkun Kuş , Yunus Akdoğan , Akbar Asgharzadeh , İsmail Kınacı , Kadir Karakaya

https://doi.org/10.31801/cfsuasmas.424228

Cited By: 15

Abstract

In this paper, a new discrete distribution called Binomial-Discrete Lindley (BDL) distribution is proposed by compounding the binomial and discrete Lindley distributions. Some properties of the distribution are discussed including the moment generating function, moments and hazard rate function. The estimation of distribution parameter is studied by methods of moments, proportions and maximum likelihood. A simulation study is performed to compare the performance of the different estimates in terms of bias and mean square errors. Automobile claim data applications are also presented to see that the new distribution is useful in modelling data.

Keywords

Binomial distribution, discrete Lindley distribution, discrete distributions, estimation

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