Properties of Some Estimators for the Errors-in-Variables Model
The Annals of Statistics · 1980 · Volume 8 · Issue 2
Abstract
The limiting behavior of estimators for several errors-in-variables models is investigated. It is assumed that an estimator of the covariance matrix of the measurement error is available. Models are delineated on the basis of the prior knowledge of the error structure. In all cases the limiting distribution of the estimators, standardized by $n^{\frac{1}{2}}$, is normal. Modifications of the estimators that guarantee finite moments and improve the small sample behavior of the estimators are presented.
Keywords
62H25, 62J99, 62P15, 62P20, 62P25, errors in variables, functional model, response error
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