JSM 2005 Online Program

Abstract #304862

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	205
Type:	Invited
Date/Time:	Tuesday, August 9, 2005 : 8:30 AM to 10:20 AM
Sponsor:	IMS
Abstract - #304862
Title:	Oracle Estimators in Asymptotic Theory
Author(s):	Piet Groeneboom*+
Companies:	Technische Universiteit Delft
Address:	, , ,
Keywords:
Abstract:	In [1], an iterative convex minorant algorithm was introduced to compute the maximum likelihood estimator (MLE) for the distribution function of data subject to interval censoring. For the particular case of interval censoring, case 2, where the length of the interval that can obtain an observation is bounded below by a positive constant, it was proved in [2] that the asymptotic distribution of the MLE is the same as that of an "oracle estimator," studied in [5], which is obtained by doing one step of the iterative convex minorant algorithm, starting with the real underlying distribution function. It was conjectured in [1] that this asymptotic equivalence also will hold for the situation where the intervals can be arbitrarily small, but this "working hypothesis" still has not been proved. Recent support for the working hypothesis was obtained in [3] from a simulation study. In [4], oracle estimators of this type also were introduced for studying the limit behavior of the maximum likelihood estimators for subdistribution functions in a competing risk model, subject to current status censoring.

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