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Using Heteroskedasticity to Identify and Estimate Mismeasured and Endogenous Regressor Models

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Author Info
Arthur Lewbel () (Boston College)

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Abstract

This paper proposes a new method of obtaining identification in mismeasured regressor models, triangular systems, linear simultaneous equation systems, and structural vector autoregressions. Associated estimators take the form of ordinary two stage least squares or generalized method of moments. The method may be used in applications where other sources of identification such as instrumental variables or repeated measurements are not available. Identification comes from a heteroskedastic covariance restriction that is shown to be a feature of many models of endogeneity and of measurement errors. Identification is also obtained in some semiparametric partly linear models. Set identification bounds are provided for cases where point identifying assumptions fail to hold. An empirical application and a Monte Carlo study are provided.

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File URL: http://fmwww.bc.edu/EC-P/WP587.pdf
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Publisher Info
Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 587.

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Length: 32 pages
Date of creation: 19 Dec 2003
Date of revision: 27 Nov 2007
Handle: RePEc:boc:bocoec:587

Note: Previously circulated as "Identification of Heteroskedastic Endogenous or Mismeasured Regressor Models."
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Related research
Keywords: simultaneous; endogenous; identification; heteroscedasticity;

Find related papers by JEL classification:
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

References listed on IDEAS
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    Other versions:
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    Other versions:
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  15. Chunrong Ai & Xiaohong Chen, 2003. "Efficient Estimation of Models with Conditional Moment Restrictions Containing Unknown Functions," Econometrica, Econometric Society, vol. 71(6), pages 1795-1843, November. [Downloadable!] (restricted)
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Cited by:
(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. Todd Prono, 2008. "GARCH-based identification and estimation of triangular systems," Quantitative Analysis Unit Working Paper QAU08-4, Federal Reserve Bank of Boston. [Downloadable!]
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