A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution

被引：0

作者：

Gillariose, Jiju ^{[1
]}

Tomy, Lishamol ^{[2
]}

Jamal, Farrukh ^{[3
]}

Chesneau, Christophe ^{[4
]}

机构：

[1] CHRIST Deemed Univ, Dept Stat, Hosur Rd, Bangalore 560029, Karnataka, India

[2] Deva Matha Coll, Dept Stat, Kuravilangad 686633, Kerala, India

[3] Islamia Univ Bahawalpur, Dept Stat, Punjab 63100, Pakistan

[4] Univ Caen, LMNO, Campus 2,Sci 3, F-14032 Caen, France

来源：

JIRSS-JOURNAL OF THE IRANIAN STATISTICAL SOCIETY | 2021年 / 20卷 / 02期

关键词：

Discrete Distributions; Exponential Distribution; Generalized Family; Geometric Distribution; Marshall-Olkin Extended Distribution; Maximum Likelihood Estimation; PARAMETER; FAMILY;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：129 / 152

页数：24

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