Discrete Weibull geometric distribution and its properties

被引：20

作者：

Jayakumar, K. ^{[1
]}

Babu, M. Girish ^{[2
]}

机构：

[1] Univ Calicut, Dept Stat, Calicut, Kerala, India

[2] Govt Arts & Sci Coll, Dept Stat, Kozhikode 673018, Kerala, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2018年 / 47卷 / 07期

关键词：

Discrete Weibull distribution; Geometric distribution; Hazard rate function; Order statistics; Weibull distribution; Weibull geometric distribution; 62E15; 62E99; ANALOG;

D O I：

10.1080/03610926.2017.1327074

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：

In this article, the discrete analog of Weibull geometric distribution is introduced. Discrete Weibull, discrete Rayleigh, and geometric distributions are submodels of this distribution. Some basic distributional properties, hazard function, random number generation, moments, and order statistics of this new discrete distribution are studied. Estimation of the parameters are done using maximum likelihood method. The applications of the distribution is established using two datasets.

引用

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页码：1767 / 1783

页数：17

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