The Negative Binomial-Generalized Lindley Distribution for Overdispersed Data

被引：0

作者：

Atikankul, Yupapin ^{[1
]}

Wattanavisut, Atchariya ^{[2
]}

Liu, Sichen ^{[3
]}

机构：

[1] Rajamangala Univ Technol Phra Nakhon, Dept Math & Stat, Bangkok 10800, Thailand

[2] Srinakharinwirot Univ, Dept Math, Bangkok 10110, Thailand

[3] Univ Regina, Dept Math & Stat, Regina, SK S4S0A2, Canada

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 09期

关键词：

mixed negative binomial distribution; generalized Lindley distribution; overdispersion; maximum likelihood estimation;

D O I：

10.1134/S1995080222120058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new count distribution for overdispersed data is introduced. The distribution is a mixture of the negative binomial and generalized Lindley distributions. This new distribution contains the negative binomial-Lindley distribution as a special case. Some statistical properties are studied. The parameters estimation procedure is obtained by the method of maximum likelihood. Simulation studies are performed to assess the performance of the maximum likelihood estimators. Finally, real overdispersed data sets are analyzed to show the usefulness of the distribution.

引用

页码：2378 / 2386

页数：9

共 14 条

[1] A new generalized Lindley distribution [J].