A NON-NEGATIVE INTEGER-VALUED MODEL: ESTIMATION, COUNT REGRESSION AND PRACTICAL EXAMPLES

被引：0

作者：

Bakouch, Hassan S. ^{[1
,2
]}

Karakaya, Kadir ^{[3
]}

Chesneau, Christophe ^{[4
]}

Akdogan, Yunus ^{[3
]}

机构：

[1] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt

[2] Qassim Univ, Coll Sci, Dept Math, Buraydah, Saudi Arabia

[3] Selcuk Univ, Fac Sci, Dept Stat, Konya, Turkey

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

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2022年 / 16卷 / 02期

关键词：

Poisson-Lindley distribution; Estimation; Data analysis; Count regression;

D O I：

10.2298/AADM210114029B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we propose a non-negative integer-valued model based on the sum of Poisson-Lindley and geometric distributions. We show that it corresponds to the weighted geometric distribution and also a special mixture of two negative binomial distributions with certain parameters. The main statistical properties of the new distribution are studied comprehensively, including estimation of the model parameter. A new count regression analysis is introduced by using the new distribution. Finally, we provide some applications on practical data sets.

引用

页码：467 / 484

页数：18

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