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Activity Number: 396
Type: Invited
Date/Time: Wednesday, August 9, 2006 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #305159
Title: Semiparametric Models with Data Missing by Design and Inverse Probability Weighted Empirical Processes: Partial Results and Open Problems
Author(s): Jon A. Wellner*+
Companies: University of Washington
Address: Department of Statistics, Box 354322, Seattle, WA, 98195-4322,
Keywords: Horvitz-Thompson processes ; exchangeable bootstrap ; missing data ; sampling without replacement
Abstract:

Horovitz-Thompson or inverse probability weighted (IPW) versions of likelihood equations provide one simple method of estimation for two-phase stratified sampling designs. In this talk, I will discuss results for the basic Horovitz-Thompson empirical processes, which allow study of the asymptotic behavior of estimators for semiparametric models with nuisance parameters---which can be estimated at rate square-root n. The results are based on theorems for exchangeably weighted bootstrap methods obtained in the early 1990s. This talk will complement a related talk by Norman Brewlow on different aspects of the same problem.


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Revised April, 2006