A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution

Title

A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution

Creator

Gillariose J.; Tomy L.; Jamal F.; Chesneau C.

Description

Finding new families of distributions has become a popular tool in statistical research. In this article, we introduce a new flexible four-parameter discrete model based on the Marshall-Olkin approach, namely, the discrete Kumaraswamy MarshallOlkin exponential distribution. The proposed distribution can be viewed as another generalization of the geometric distribution and enfolds some important distributions as special cases. Some properties of the new distribution are derived. The model parameters are estimated by the maximum likelihood method, with validation through a complete simulation study. The usefulness of the new model is illustrated via counttype real data sets. 2022. Journal of the Iranian Statistical Society. All Rights Reserved.

Source

Journal of the Iranian Statistical Society, Vol-20, No. 2, pp. 129-152.

Date

2022-01-01

Publisher

Iranian Statistical Society

Subject

Discrete distributions; Exponential distribution; Generalized family; Geometric distribution; Marshall-olkin extended distribution; Maximum likelihood estimation

Coverage

Gillariose J., Department of Statistics, CHRIST (Deemed to be University), Karnataka, Hosur Road, Bangalore, 560029, India; Tomy L., Department of Statistics, Deva Matha College, Kerala, Kuravilangad, 686633, India; Jamal F., Department of Statistics, The Islamia University of Bahawalpur, Punjab, 63100, Pakistan; Chesneau C., Universitde Caen, LMNO, Campus II, Science 3, Caen, 14032, France

Rights

All Open Access; Gold Open Access

Relation

ISSN: 17264057

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.52547/jirss.20.2.129

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85129643095&doi=10.52547%2fjirss.20.2.129&partnerID=40&md5=05341e15c44066d15857f68f3fe1d402