Hazard Rate Estimation under Random Censoring by Local Polynomial Method
Date Issued
2005
Date
2005
Author(s)
Lee, Chun-Yi
DOI
en-US
Abstract
In many survival studies, observation on the occurance of the event of interest (called a failure) may be prevented by the previous occurance of another event(called a censoring event). We assume the random censorship model. By considering a local polynomial approximation to the Nelson-Aalen estimator of cumulative hazard function, based on local linear and local quadratic fits, we obtain the estimators of the linear coefficients which are called the local linear and local quadratic estimators of the hazard rate, respectively. The asymptotic normality of the local linear and local quadratic estimators are established. The results are illustrated by simulations. We compare our estimators with the kernel estimator and the Jiang and Doksum estimator by means of the figures and the estimated MISE. The local quadratic estimator behaves favorably
compared with the Jiang and Doksum estimator.
Subjects
設限
風險函數
局部多項式
Censoring
Hazard rate
Local polynomial
Type
thesis
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