首页 | 本学科首页   官方微博 | 高级检索  
     


On estimation and diagnostics analysis in log-generalized gamma regression model for interval-censored data
Authors:Elizabeth M. Hashimoto  Vicente G. Cancho  Gauss M. Cordeiro
Affiliation:1. Departmento de Ciências Exatas , Universidade de S?o Paulo , Avenue Pádua Dias 11, Caixa Postal 9, 13418-900 , Piracicaba , S?o Paulo , Brazil;2. Departamento de Matemática Aplicada e Estatística , Universidade de S?o Paulo , Brazil;3. Departamento de Estatística , Universidade Federal de Pernambuco , Brazil
Abstract:
The interval-censored survival data appear very frequently, where the event of interest is not observed exactly but it is only known to occur within some time interval. In this paper, we propose a location-scale regression model based on the log-generalized gamma distribution for modelling interval-censored data. We shall be concerned only with parametric forms. The proposed model for interval-censored data represents a parametric family of models that has, as special submodels, other regression models which are broadly used in lifetime data analysis. Assuming interval-censored data, we consider a frequentist analysis, a Jackknife estimator and a non-parametric bootstrap for the model parameters. We derive the appropriate matrices for assessing local influence on the parameter estimates under different perturbation schemes and present some techniques to perform global influence.
Keywords:log-generalized gamma regression  generalized gamma distribution  interval-censored data  maximum likelihood  regression model  sensitivity analysis
相似文献(共20条):
[1]、Jianguo Sun,Yanqin Feng,Hui Zhao.Simple estimation procedures for regression analysis of interval-censored failure time data under the proportional hazards model[J].Lifetime data analysis,2015,21(1):138-155.
[2]、Gary C. Brown.Local influence regression diagnostics for gamma data[J].统计学通讯:理论与方法,2013,42(12):3051-3067.
[3]、Pao-sheng Shen.Median regression model with left truncated and interval-censored data[J].Journal of the Korean Statistical Society,2013,42(4):469-479.
[4]、Jong S. Kim.Maximum likelihood estimation for the proportional hazards model with partly interval-censored data[J].Journal of the Royal Statistical Society. Series B, Statistical methodology,2003,65(2):489-502.
[5]、Multiple imputation for competing risks regression with interval-censored data[J].Journal of Statistical Computation and Simulation
[6]、Debajyoti Sinha.Time-discrete beta-process model for interval-censored survival data[J].Revue canadienne de statistique,1997,25(4):445-456.
[7]、The log-exponentiated generalized gamma regression model for censored data[J].Journal of Statistical Computation and Simulation
[8]、Wen CC.Cox regression for mixed case interval-censored data with covariate errors[J].Lifetime data analysis,2012,18(3):321-338.
[9]、Ming Tan,Yingsheng Qu,Michael H.Kutner.Model diagnostics for marginal regression analysis of correlated binary data[J].统计学通讯:模拟与计算,2013,42(2):539-558.
[10]、Sun J,Sun L,Zhu C.Testing the proportional odds model for interval-censored data[J].Lifetime data analysis,2007,13(1):37-50.
[11]、The log-odd log-logistic Weibull regression model: modelling,estimation, influence diagnostics and residual analysis[J].Journal of Statistical Computation and Simulation
[12]、Fábio Prataviera,Gauss M. Cordeiro,Altemir da Silva Braga.The heteroscedastic odd log-logistic generalized gamma regression model for censored data[J].统计学通讯:模拟与计算,2019,48(6):1815-1839.
[13]、Xiaoyan Lin,Bo Cai,Lianming Wang,Zhigang Zhang.A Bayesian proportional hazards model for general interval-censored data[J].Lifetime data analysis,2015,21(3):470-490.
[14]、Shen,Pao-sheng,Peng, Yingwei,Chen, Hsin-Jen,Chen, Chyong-Mei.Maximum likelihood estimation for length-biased and interval-censored data with a nonsusceptible fraction[J].Lifetime data analysis,2022,28(1):68-88.
[15]、Categorical data regression diagnostics for remote access servers[J].Journal of Statistical Computation and Simulation
[16]、Nadkarni NV,Zhao Y,Kosorok MR.Inverse regression estimation for censored data[J].Journal of the American Statistical Association,2011,106(493):178-190.
[17]、Friedrich Pukelsheim.On hsu\'s model in regression analysis[J].Statistics,2013,47(3):323-331.
[18]、Zhao,Yang.Semiparametric model for regression analysis with nonmonotone missing data[J].Statistical Methods and Applications,2021,30(2):461-475.
[19]、The random partition masking model for interval-censored and masked competing risks data[J].Journal of Statistical Computation and Simulation
[20]、Da Xu,Hui Zhao,Jianguo Sun.Joint analysis of interval-censored failure time data and panel count data[J].Lifetime data analysis,2018,24(1):94-109.
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号