Efficiency comparison of two consistent estimators in nonlinear regression model with small measurement errors
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...
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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4483 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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