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Asymptotics in Minimum Distance from Independence Estimation

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Abstract

In this paper we introduce a family of minimum distance from independence estimators, suggested by Manski's minimum mean square from independence estimator. We establish strong consistency, asymptotic normality and consistency of resampling estimates of the distribution and variance of these estimators. For Manski's estimator we derive both strong consistency and asymptotic normality.

Suggested Citation

  • Donald J. Brown & Marten H. Wegkamp, 2000. "Asymptotics in Minimum Distance from Independence Estimation," Cowles Foundation Discussion Papers 1252, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1252
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d12/d1252.pdf
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    Keywords

    Donsker class; empirical processes; extremum estimator; nonlinear simultaneous equations models; resampling estimators;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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