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MEASUREMENT ERRORS AND CENSORED STRUCTURAL LATENT VARIABLES MODELS

Published online by Cambridge University Press:  25 November 2011

Songnian Chen ,
Cheng Hsiao  and
Liqun Wang
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Abstract

We consider censored structural latent variables models where some exogenous variables are subject to additive measurement errors. We demonstrate that overidentification conditions can be exploited to provide natural instruments for the variables measured with errors, and we propose a two-stage estimation procedure. The first stage involves substituting available instruments in lieu of the variables that are measured with errors and estimating the resulting reduced form parameters using consistent censored regression methods. The second stage obtains structural form parameters using the conventional linear simultaneous equations model estimators.

Type
Brief Report
Information
Econometric Theory , Volume 28 , Issue 3 , June 2012 , pp. 696 - 703
Copyright
Copyright © Cambridge University Press 2011

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Footnotes

We are deeply appreciative of the very helpful comments of a co-editor and two referees. We also thank T. Amemiya for helpful comments. This research is partially supported by the Natural Sciences and Engineering Research Council of Canada (NSERC). Part of this work was carried out while the first author was at the National University of Singapore.

References

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