JSM 2005 - Toronto

Abstract #303744

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 189
Type: Contributed
Date/Time: Monday, August 8, 2005 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #303744
Title: A Self-consistent Estimator in the Competing Risk Model with One Arm Subject to Interval Censoring
Author(s): Xiaodong Luo*+ and Wei-Yann Tsai and Louise Kuhn
Companies: Columbia University and Columbia University and Columbia University
Address: 154 Haven Avenue Apartment 907, New York, NY, 10032, United States
Keywords: Competing risk model ; Projection onto the diagonal ; Self-consistent equations ; Nonparametric maximum likelihood estimator ; Uniformly strong consistency ; Asymptotic normality
Abstract:

In this paper, we discuss a special competing risk model where one of the two random times T and S is interval-censored. To estimate the distribution of the minimum of T and S, we propose an estimator motivated by decomposing it into two sub-distributions and based on two self-consistency equations. We give uniformly strong consistency and asymptotic normality of this estimator.


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Revised March 2005