免费A级毛片在线播放不收费,国产麻豆剧传媒精品国产av,最近最好的2019中文,最好看免费观看高清电影大全

報告承辦單位:數學與統計學院

報告題目：截斷泊松分布的均值回歸模型及其推廣

報告內容: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.

報告人姓名:田國梁

報告人所在單位:南方科技大學統計與數據科學系

報告人職稱/職務及學術頭銜:教授，博士生導師

報告時間:2021年10月29日周五上午10:00-11:00

報告地點:通訊會議，會議ID：776 441 138

報告人簡介:田國梁博士曾在美國馬里蘭大學從事醫學統計研究六年, 在香港大學統計與精算學系任副教授八年, 從2016年6月至今在南方科技大學統計與數據科學系任教授、博士生導師、副系主任。他目前的研究方向為(0, 1) 區間上連續數據以及成份數據的統計分析、多元零膨脹計次數據分析, 在國外發表140篇SCI論文、出版3本英文專著、在科學出版社出版英文教材1本。他是四個國際統計期刊的副主編。主持國自然面上項目二項、參加國自然重點項目并主持深圳市穩定支持面上項目各一項。