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Biometrika 1982 69(1):175-182; doi:10.1093/biomet/69.1.175
© 1982 by Biometrika Trust
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Estimation of the quadratic errors-in-variables model

KIRK M. WOLTER and WAYNE A. FULLER

Department of Statistics, U.S. Bureau of the Census Washington, D.C., U.S.A
Department of Statistics, Iowa State University Ames, Iowa, U.S.A

An estimator is presented for the coefficients of the quadratic functional relationship. The estimator is shown to be asymptotically normally distributed as the sample size increases. In deriving this result it is not assumed that replication occurs. A Monte Carlo study is presented agreeing well with the asymptotic results. An example from the earth sciences is analysed.

Key Words: Error-in-variables • Functional relationship • Measurement error • Polynomial model


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