Zero-and-one-inflated Poisson regression model

被引：10

作者：

Liu, Wenchen ^{[1
]}

Tang, Yincai ^{[1
]}

Xu, Ancha ^{[2
]}

机构：

[1] East China Normal Univ, Sch Stat, KLATASDS MOE, Shanghai 200241, Peoples R China

[2] Wenzhou Univ, Dept Math, Wenzhou 325035, Zhejiang, Peoples R China

来源：

STATISTICAL PAPERS | 2021年 / 62卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Zero-and-one-inflated Poisson regression model; Data augmentation; Gibbs sampling; EM algorithm; GEM algorithm;

D O I：

10.1007/s00362-019-01118-7

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 paper, a zero-and-one-inflated Poisson (ZOIP) regression model is proposed. The maximum likelihood estimation (MLE) and Bayesian estimation for this model are investigated. Three estimation methods of the ZOIP regression model are obtained based on data augmentation method which is expectation-maximization (EM) algorithm, generalized expectation-maximization (GEM) algorithm and Gibbs sampling respectively. A simulation study is conducted to assess the performance of the proposed estimation for various sample sizes. Finally, an accidental deaths data set is analyzed to illustrate the practicability of the proposed method.

引用

页码：915 / 934

页数：20

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