Exponential-Discrete Lindley Distribution: Properties and Applications

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Mathematical Sciences and Applications E-Notes
Volume:8 Issue:2
Exponential-Discrete Lindley Distribution: Properties and Applications

Exponential-Discrete Lindley Distribution: Properties and Applications

Authors : Sibel AÇIK KEMALOĞLU, Mehmet YILMAZ

Pages : 21-31

Doi:10.36753/mathenot.752965

View : 50 | Download : 8

Publication Date : 2020-10-15

Article Type : Research Paper

Abstract :In this paper, we introduce a new compounding distribution named Exponential Discrete Lindley distribution which compounds the discrete Lindley distribution and exponential distribution. We obtain several properties of the new distribution such as its probability density function, survival function, hazard rate function, mean residual life function. Moments and expression for the Rényi entropy of the proposed distribution are also given. Moreover, the maximum likelihood method using the EM algorithm is developed for parameter estimation. Two real data sets are used to illustrate the usefulness of the proposed distribution
Keywords : Discrete Lindley distribution, Compound distribution, Exponential distribution, Maximum likelihood estimation, EM algorithm, Rényi entropy

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.