- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 68 Issue: 1
- Binomial-Discrete Lindley Distribution
Binomial-Discrete Lindley Distribution
Authors : Coşkun Kuş, Yunus Akdoğan, Akbar Asgharzadeh, Ismail Kinaci, Kadir Karakaya
Pages : 401-411
Doi:10.31801/cfsuasmas.424228
View : 21 | Download : 8
Publication Date : 2019-02-01
Article Type : Research
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