Relative efficiency of three estimators in a polynomial regression with measurement errors

DOI10.1016/J.JSPI.2003.09.016zbMath1083.62023OpenAlexW2001851827MaRDI QIDQ1888837

Roland Wolf, Hans Schneeweiss, Alexander G. Kukush

Publication date: 29 November 2004

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2003.09.016

zbMATH Keywords

Polynomial regressionOrdinary least squaresMeasurement errorsAdjusted least squaresSmall error varianceStructural least squares

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Estimation in multivariate analysis (62H12) Linear inference, regression (62J99) General nonlinear regression (62J02)

Related Items (7)

A note on a matrix inequality for generalized means ⋮ Three estimators for the Poisson regression model with measurement errors ⋮ Consistent estimation and testing in heteroscedastic polynomial errors-in-variables models ⋮ Testing the suitability of polynomial models in errors-in-variables problems ⋮ New \(M\)-estimators in semi-parametric regression with errors in variables ⋮ Quasi score is more efficient than corrected score in a polynomial measurement error model ⋮ Moment conditions for the quadratic regression model with measurement error

Cites Work

• Unbiased estimation of a nonlinear function a normal mean with application to measurement err oorf models
• Polynomial Regression With Errors in the Variables
• A Small Sample Estimator for a Polynomial Regression with Errors in the Variables
• Covariate Measurement Error in Quadratic Regression
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