The Zero-inflated Negative Binomial-Exponential Distribution and Its Application

被引：2
|
作者：
Bodhisuwan, Rujira [1 ]
Kehler, Adam [2 ]
机构：
[1] King Mongkuts Univ Technol North Bangkok, Coll Ind Technol, Bangkok 10800, Thailand
[2] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 02期
关键词：
zero-inflated distribution; negative binomial exponential distribution; count data; over-dispersion; REGRESSION;
D O I：
10.1134/S1995080221020062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new distribution, the zero-inflated negative binomial-exponential (ZINB-E) distribution, is proposed. It is a mixture of a point mass at zero and a negative binomial-exponential (NB-E) distribution. The ZINB-E is an alternative distribution for count data with extra zeros and over-dispersion. We apply the method of maximum likelihood estimation for estimating parameters of the proposed distribution, and derive some of its mathematical properties. We also apply the proposed distribution to fit real data sets that have an excess of zero-count data. The result shows that the ZINB-E distribution is the best model for fitting data compared to the zero-inflated Poisson and zero-inflated negative binomial distributions.
引用
收藏
页码：300 / 307
页数：8
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