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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
ISSN/eISSN0167-9473
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
DOI10.1016/j.csda.2022.107650
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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
被引频次:4[WOS]   [WOS记录]     [WOS相关记录]
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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