JSM 2003 Online Program

Abstract #300189

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Activity Number:	218
Type:	Contributed
Date/Time:	Tuesday, August 5, 2003 : 8:30 AM to 10:20 AM
Sponsor:	Biometrics Section
Abstract - #300189
Title:	An Errors-in-Variables Model in which the Errors Have a Poisson Distribution
Author(s):	Liang Li*+
Companies:	University of Wisconsin, Madison
Address:	304 H Eagle Heights, Madison, WI, 53705,
Keywords:	errors-in-variables ; Poisson ; unbiased score
Abstract:	We consider a linear regression model in which one of the covariates is the unknown rate of a Poisson process. It is shown that the simple method of treating the UMVU estimator of the rate as if it were the true covariate leads to biased parameter estimators. An unbiased score equations approach is adopted to consistently estimate the regression parameters without making assumptions on the distribution of the unobserved true covariate. The model can be extended to model longitudinal data. No replication or validation data are needed for adjusting for the measurement error in this case.

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