title: Exponential-modified discrete Lindley distribution.
abstract: In this study, we have considered a series system composed of stochastically independent M-component where M is a random variable having the zero truncated modified discrete Lindley distribution. This distribution is newly introduced by transforming on original parameter. The properties of the distribution of the lifetime of above system have been examined under the given circumstances and also parameters of this new lifetime distribution are estimated by using moments, maximum likelihood and EM-algorithm.
authors.affiliation: Department of Statistics, Faculty of Science, Ankara University, 06100 Tandogan, Ankara Turkey.
authors.forename: Mehmet
authors.identifier: 0000-0002-9762-6688
authors.initials: M
authors.lastname: Yilmaz
authors.affiliation: Graduate School of Natural and Applied Sciences, Ankara University, 06110 Diskapi, Ankara Turkey.
authors.forename: Monireh
authors.initials: M
authors.lastname: Hameldarbandi
authors.affiliation: Department of Statistics, Faculty of Science, Ankara University, 06100 Tandogan, Ankara Turkey.
authors.forename: Sibel
authors.initials: S
authors.lastname: Acik Kemaloglu
keywords: Discrete Lindley distribution; EM-algorithm; Exponential- modified; Maximum likelihood estimation; Method of moments; Modified discrete Lindley distribution