Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 1
BINOMIAL-DISCRETE LINDLEY DISTRIBUTION
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 401–411
- DOI
- —
Abstract
In this paper, a new discrete distribution called Binomial-DiscreteLindley (BDL) distribution is proposed by compounding the binomial and discrete Lindley distributions. Some properties of the distribution are discussedincluding 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 tocompare the performance of the di§erent estimates in terms of bias and meansquare errors. Automobile claim data applications are also presented to seethat the new distribution is useful in modelling data.