Journal of the Iranian Statistical Society

A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution

Authors

1 Department of Statistics, CHRIST (Deemed to be University), Hosur Road, Bangalore, Karnataka, 560029, India.

2 Department of Statistics, Deva Matha College, Kuravilangad, Kerala, 686633, India.

3 Department of Statistics, The Islamia University of Bahawalpur, Punjab 63100, Pakistan.

4 Universite de Caen, LMNO, Campus II, Science 3, 14032, Caen, France.

10.52547/jirss.20.2.129

Abstract

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 Marshall-Olkin 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 count-type real data sets.

Keywords

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Journal of the Iranian Statistical Society
Volume 20, Issue 2
December 2021
Pages 129-152
  • Receive Date: 23 July 2022
  • Revise Date: 14 May 2024
  • Accept Date: 23 July 2022