Nonparametric Regression with Interval-Censored Data

In many medical studies,the prevalence of interval censored data is increasing due to periodic monitoring of the progression status of a disease.In nonparametric regression model,when the response variable is subjected to interval-censoring,the regression function could not be estimated by tradition...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2014-08, Vol.30 (8), p.1422-1434
Main Authors: Deng, Wen Li, Zheng, Zu Kang, Zhang, Ri Quan
Format: Article
Language:English
Subjects:
Asymptotic properties
Consistency
Data analysis
Estimators
Failure analysis
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Monitoring
Progressions
Random variables
Regression
Statistical analysis
Studies
Survival analysis
Theorems
传统方法
区间删失
区间数据
回归函数
定期监测
渐近正态性
近邻估计
非参数回归模型
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Summary:In many medical studies,the prevalence of interval censored data is increasing due to periodic monitoring of the progression status of a disease.In nonparametric regression model,when the response variable is subjected to interval-censoring,the regression function could not be estimated by traditional methods directly.With the censored data,we construct a new response variable which has the same conditional expectation as the original one.Based on the new variable,we get a nearest neighbor estimator of the regression function.It is established that the estimator has strong consistency and asymptotic normality.The relevant simulation reports are given.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-014-0729-7