JSM 2004 Online Program

Abstract #302132

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Activity Number:	426
Type:	Contributed
Date/Time:	Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor:	Section on Nonparametric Statistics
Abstract - #302132
Title:	A Class of One-step Estimators in Interval Censoring
Author(s):	Gheorghe Doros*+ and David Pollard
Companies:	Yale University and Yale University
Address:	Dept. of Statistics, New Haven, CT, 06520-8290,
Keywords:	asymptotics ; constrained optimization ; isotonic regression ; current status data ; infinite-dimensional one-step procedure
Abstract:	We develop an infinite-dimensional analog of the classical one-step method for solving statistical optimization problems. Specifically, we establish some asymptotic theory for estimators defined by means of convex minorants of weighted cumulative sum (CUSUM) processes. We illustrate our results by giving a new derivation of the Central Limit Theorem for the Current Status model and by proving some asymptotic results uniformly in the weights for the Weighted Isotonic Regression estimator.

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