Volume 20, Issue 2 (12-2021)
JIRSS 2021, 20(2): 129-152 |
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Gillariose J, Tomy L, Jamal F, Chesneau C. A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution. JIRSS 2021; 20 (2) :129-152
URL: http://jirss.irstat.ir/article-1-687-en.html
URL: http://jirss.irstat.ir/article-1-687-en.html
Universite de Caen, LMNO, Campus II, Science 3, 14032, Caen, France. , christophe.chesneau@gmail.com
Abstract: (1098 Views)
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: Discrete Distributions, Exponential Distribution, Generalized Family, Geometric Distribution, Marshall-Olkin Extended Distribution, Maximum Likelihood Estimation
Type of Study: Original Paper |
Subject:
62Exx: Distribution theory
Received: 2020/07/24 | Accepted: 2022/02/1 | Published: 2022/04/12
Received: 2020/07/24 | Accepted: 2022/02/1 | Published: 2022/04/12
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