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Errors in Variables in Linear Systems

  • Leamer, Edward E

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.
  2. Bekker, P. & Kapteyn, A.J. & Wansbeek, T.J., 1985. "Consistent sets of estimates for regressions with correlated or uncorrelated measurement errors in arbitrary subsets of all variables," Research Memorandum FEW 186, Tilburg University, School of Economics and Management.
  3. 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.
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