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A note on nonidentification in truncated sampling distribution estimation

Author

Listed:
  • William Barnett

    (University of Kansas)

  • Ousmane Seck

    (University of Texas at El Paso)

Abstract

Theoretical constraints on economic model parameters often are in the form of inequality restrictions. For example, many theoretical results are in the form of monotonicity or nonnegativity restrictions. Inequality constraints can truncate sampling distributions of parameter estimators, so that asymptotic normality no longer is possible. Sampling theoretic asymptotic inference is thereby greatly complicated or compromised. In Barnett and Seck (2009), which will be appear in volume 1 number 1 of the new journal, Journal of Statistics: Advances in Theory and Applications, we use numerical methods to investigate the resulting sampling properties of estimation with inequality constraints, with particular emphasis on the method of squaring, which is the most widely used method in applied literature on estimating integrable neoclassical systems of equations. In this note, we make our most important results more widely and easily available.

Suggested Citation

  • William Barnett & Ousmane Seck, 2010. "A note on nonidentification in truncated sampling distribution estimation," Economics Bulletin, AccessEcon, vol. 30(2), pages 1670-1679.
    • Handle: RePEc:ebl:ecbull:eb-09-00582
    as

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    File URL: http://www.accessecon.com/Pubs/EB/2010/Volume30/EB-10-V30-I2-P153.pdf
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    References listed on IDEAS

    as
    1. William A. Barnett & Jane Binner & W. Erwin Diewert, 2005. "Functional Structure and Approximation in Econometrics (book front matter)," Econometrics 0511006, University Library of Munich, Germany.
    2. William Barnett & Ousmane Seck, 2009. "Estimation with Inequality Constraints on Parameters and Truncation of the Sampling Distribution," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200903, University of Kansas, Department of Economics, revised May 2009.
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    More about this item

    Keywords

    Inequality constraints; truncated sampling distribution; nonidentification; method of squaring; numerical methods; small sample properties; asymptotic properties;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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