区间删失数据下基于OLLGG分布的多参数回归模型的参数估计  

The Estimation of the Multiple Parameter Regression Model with Interval-Censored Data Based on the Odd Log-Logistic Generalized Gompertz Distribution

作　　者：王淑影 张贺楠 赵波 程云飞 WANG Shuying;ZHANG He′nan;ZHAO Bo;CHENG Yunfei(School of Mathematics and Statistics,Changchun University of Technology,Changchun Jilin 130012,China)

机构地区：[1]长春工业大学数学与统计学院,吉林长春130012

出　　处：《江西师范大学学报（自然科学版）》2023年第2期199-205,共7页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：中国博士后基金面上课题(2021M700536);吉林省自然科学基金优秀青年课题(20230101371JC)资助项目。

摘　　要：该文基于Ⅱ型区间删失数据,在OLLGG分布下提出多参数回归模型,通过线性回归刻画分布参数与协变量之间的关系,并通过极大似然方法给出了模型的参数估计,数值模拟验证了模型参数的估计有良好的性质,将提出的模型应用到血友病患者HIV感染的数据中,发现提出的模型对数据有灵活的拟合效果.The multi-parameter regression model is made to describe the relationship between distribution parameters and covariates through linear regression based on case II interval censoring failure time data and OLLGG distribution.The parameter estimation is given by using the maximum likelihood method and the numerical simulation shows that the estimator has good properties.The proposed model is applied to HIV infection data set in hemophilia patients,and it is found that the proposed model has a more flexible fitting effect.

关 键 词：多参数回归模型 Ⅱ型区间删失 OLLGG分布 极大似然估计 

分 类 号：O212.1[理学—概率论与数理统计]