JSM 2005 - Toronto

Abstract #302569

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Activity Number: 502
Type: Invited
Date/Time: Thursday, August 11, 2005 : 10:30 AM to 12:20 PM
Sponsor: ENAR
Abstract - #302569
Title: Semiparametric Pseudo Z-Estimation and Case-Cohort Studies
Author(s): Bin Nan*+
Companies: University of Michigan
Address: 1420 Washington Heights, Ann Arbor, MI, 48109,
Keywords: Case-cohort ; Empirical processes ; Semiparametric models ; Z-estimation
Abstract:

The estimating function for a Euclidean parameter in a case-cohort study can be formulized in a way that it is also a functional of an unknown function. Such an unknown function is allowed to vary with the Euclidean parameter. To obtain an estimator of the Euclidean parameter, the estimating equation for the Euclidean parameter is solved with the unknown function being replaced by its estimator. The approach is thus named the pseudo Z-method, following Gong and Samaniego (Annals, 1981) in which parametric models were considered. Here, Z stands for zero. We develop the semiparametric pseudo Z-estimation theory and apply it to the case-cohort studies for their asymptotic representations where the stochastic integral formulation may not be appropriate and thus the martingale theory may fail.

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