Non- and Semi-Parametric Analysis of Failure Time Data with Missing Failure Indicators

• Published in: Lecture notes-monograph series Vol. 54; pp. 203 - 223
• Main Authors: Gijbels, Irene, Lin, Danyu, Ying, Zhiliang
• Format: Journal Article
• Language: English
• Published: Institute of Mathematical Statistics 01.01.2007
• Subjects: Analytical estimating; Censorship; Consistent estimators; Covariance; Estimators; Kaplan Meier estimator; Mathematical functions; Maximum likelihood estimation; Regression analysis; Statistical variance

A class of estimating functions is introduced for the regression parameter of the Cox proportional hazards model to allow unknown failure statuses on some study subjects. The consistency and asymptotic normality of the resulting estimators are established under mild conditions. An adaptive estimator...