发表状态 | 已发表Published |
题名 | Mean regression model for the zero-truncated Poisson distribution and its generalization |
作者 | |
发表日期 | 2023-03-01 |
发表期刊 | Computational Statistics and Data Analysis
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ISSN/eISSN | 0167-9473 |
卷号 | 179 |
摘要 | Zero-truncated count data (e.g., days of staying in hospital; survival weeks of female patients with breast cancer) often arise in various fields such as medical studies. To model such data, the zero-truncated Poisson (ZTP) distribution is commonly utilized to investigate the relationship between the response counts and a set of covariates. For existing ZTP regression models, it is very hard to explain the regression coefficients β or it is quite difficult to perform a constrained optimization to calculate the maximum likelihood estimates (MLEs) of β. This paper aims to introduce a new mean regression model for the ZTP distribution with a clear interpretation about the regression coefficients. Because of a challenge that the original Poisson mean parameter λ cannot be expressed explicitly by the ZTP mean parameter μ, an embedded Newton–Raphson algorithm is developed to calculate the MLEs of regression coefficients. The construction of bootstrap confidence intervals is presented and three hypothesis tests (i.e., the likelihood ratio test, the Wald test and the score test) are considered. Furthermore, the ZTP mean regression model is generalized to the mean regression model for the k-truncated Poisson distribution. Simulation studies are conducted and two real data are analyzed to illustrate the proposed model and methods. |
关键词 | Embedded Newton–Raphson algorithm k-truncated Poisson Mean regression Minorization–maximization algorithm Zero-truncated Poisson |
DOI | 10.1016/j.csda.2022.107650 |
URL | 查看来源 |
收录类别 | SCIE |
语种 | 英语English |
WOS研究方向 | Computer Science ; Mathematics |
WOS类目 | Computer Science, Interdisciplinary Applications ; Statistics & Probability |
WOS记录号 | WOS:000882131100001 |
Scopus入藏号 | 2-s2.0-85140748505 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | https://repository.uic.edu.cn/handle/39GCC9TT/10299 |
专题 | 理工科技学院 |
通讯作者 | Tian, Guoliang; Shi, Jianhua |
作者单位 | 1.Department of Statistics and Data Science,Southern University of Science and Technology,Shenzhen,Guangdong Province,518055,China 2.Department of Statistics and Data Science,Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science,BNU–HKBU United International College,Zhuhai,Guangdong Province,519087,China 3.School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian Province,363000,China |
推荐引用方式 GB/T 7714 | Li, Xunjian,Sun, Yuan,Tian, Guolianget al. Mean regression model for the zero-truncated Poisson distribution and its generalization[J]. Computational Statistics and Data Analysis, 2023, 179. |
APA | Li, Xunjian, Sun, Yuan, Tian, Guoliang, Liang, Jiajuan, & Shi, Jianhua. (2023). Mean regression model for the zero-truncated Poisson distribution and its generalization. Computational Statistics and Data Analysis, 179. |
MLA | Li, Xunjian,et al."Mean regression model for the zero-truncated Poisson distribution and its generalization". Computational Statistics and Data Analysis 179(2023). |
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