报告承办单位:数学与统计学院

报告题目：截断泊松分布的均值回归模型及其推广

报告内容: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  cannot be expressed explicitly by the ZTP mean parameter , 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.

报告人姓名:田国梁

报告人所在单位:南方科技大学统计与数据科学系

报告人职称/职务及学术头衔:教授，博士生导师

报告时间:2021年10月29日周五上午10:00-11:00

报告地点:通讯会议，会议ID：776 441 138

报告人简介:田国梁博士曾在美国马里兰大学从事医学统计研究六年, 在香港大学统计与精算学系任副教授八年, 从2016年6月至今在南方科技大学统计与数据科学系任教授、博士生导师、副系主任。他目前的研究方向为(0, 1) 区间上连续数据以及成份数据的统计分析、多元零膨胀计次数据分析, 在国外发表140篇SCI论文、出版3本英文专著、在科学出版社出版英文教材1本。他是四个国际统计期刊的副主编。主持国自然面上项目二项、参加国自然重点项目并主持深圳市稳定支持面上项目各一项。