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Efficiency comparison of two consistent estimators in nonlinear regression model with small measurement errors

Vernadsky National Library of Ukraine

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Title Efficiency comparison of two consistent estimators in nonlinear regression model with small measurement errors
 
Creator Malenko, A.
 
Description We study a nonlinear measurement model where the response variable has a density belonging to the exponential family. We consider two consistent estimators: Corrected Score (CS) and Quasi Score (QS) ones. Their relative efficiency is compared with respect to asymptotic covariance matrices. We derive expansions of these matrices for small error variances. It is shown that the QS estimator is more efficient than the CS one. The polynomial and Poisson regression models are studied in more detail.
 
Date 2009-11-19T10:15:44Z
2009-11-19T10:15:44Z
2007
 
Type Article
 
Identifier Efficiency comparison of two consistent estimators in nonlinear regression model with small measurement errors / A. Malenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 122-131. — Бібліогр.: 4 назв.— англ.
0321-3900
http://dspace.nbuv.gov.ua/handle/123456789/4483
 
Language en
 
Publisher Інститут математики НАН України