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Errors in Variables in Linear Systems

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Leamer, Edward E

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Abstract

This paper extends the simple errors-in-variable bound to the setting of systems of equations. Both diagonal and nondiagonal measurement error covariance matrices are considered. In the nondiagonal case, the analogue of the simple errors-in-variable interval of estimates is an ellipsoid with diagonal equal to the line segment connecting t he direct least squares with a two-stage least-squares estimate. For the diagonal case, the set of estimates under some conditions must li e within the convex hull of 2k points. Copyright 1987 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 55 (1987)
Issue (Month): 4 (July)
Pages: 893-909
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Handle: RePEc:ecm:emetrp:v:55:y:1987:i:4:p:893-909

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  1. Leamer, Edward E, 1982. "Sets of Posterior Means with Bounded Variance Priors," Econometrica, Econometric Society, vol. 50(3), pages 725-36, May. [Downloadable!] (restricted)
  2. Bekker, Paul & Kapteyn, Arie & Wansbeek, Tom, 1987. "Consistent Sets of Estimates for Regressions with Correlated or Uncorrelated Measurement Errors in Arbitrary Subsets of All Variables," Econometrica, Econometric Society, vol. 55(5), pages 1223-30, September. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. C Heij, 1995. "System Identification by Dynamic Factor Models," Econometric Institute Report 101, Erasmus University Rotterdam, Econometric Institute. [Downloadable!]
  2. Dean R. Hyslop & Guido W. Imbens, 2000. "Bias from Classical and Other Forms of Measurement Error," NBER Technical Working Papers 0257, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Magnac, Thierry & Maurin, Eric, 2004. "Partial Identification in Monotone Binary Models: Discrete Regressors and Interval Data," IDEI Working Papers 280, Institut d'Économie Industrielle (IDEI), Toulouse, revised Jan 2005. [Downloadable!]
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