JSM 2004 - Toronto

Abstract #301845

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Activity Number: 435
Type: Contributed
Date/Time: Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor: SSC
Abstract - #301845
Title: Efficient Estimation in the Missing Censoring Indicator Model
Author(s): Sundar Subramanian*+
Companies: University of Maine
Address: 5752 Neville Hall, Orono, ME, 04469-5752,
Keywords: functional delta method ; Wiener process ; efficiency bound ; kernel density estimator ; independent increments ; almost sure representation
Abstract:

The "inverse-probability-of-nonmissingness" estimator of a survival function is an attractive alternative to the currently existing estimators in the random censorship model when the censoring indicator is missing at random. The estimator is based on well-known empirical estimators and a kernel estimate for the conditional probability of nonmissingness of the censoring indicator. Asymptotic normality, weak convergence, asymptotic efficiency, and the approximate mean squared error of the estimator as a function of the bandwidth are discussed.


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