JSM 2004 - Toronto

Abstract #300684

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Activity Number: 435
Type: Contributed
Date/Time: Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor: SSC
Abstract - #300684
Title: Estimation of Nonlinear Models with Berkson Measurement Errors
Author(s): Liqun Wang*+
Companies: University of Manitoba
Address: Dept. of Statistics, Winnipeg, MB, R3T 2N2, Canada
Keywords: nonlinear regression ; errors in variables ; method of moments ; minimum distance estimator ; simulation-based estimator ; semiparametric models
Abstract:

This paper is concerned with general nonlinear regression models where the predictor variables are subject to Berkson-type measurement errors. The measurement errors are assumed to have a general parametric distribution, which is not necessarily normal, while the distribution of the random error in the regression equation is nonparametric. A minimum-distance estimator is proposed based on the first two conditional moments of the response variable given the observed predictor variables. A simulation-based estimator is also constructed to overcome the possible computational difficulty of minimizing an objective function which involves multiple integrals. Consistency and asymptotic normality for both estimators are derived under general conditions.


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