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Finite-Sample Moments of the MLE for the Binary Logit Model

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Abstract

We examine the finite sample properties of the MLE for the Logit model with random covariates. We derive the second order bias and MSE function for the MLE in this model, and undertake some numerical evaluations to illustrate the analytic results. From these numerical results we find, for example, that the bias correction that we provide is effective, and that the bias-corrected estimator is more efficient than the uncorrected MLE.

Suggested Citation

  • Qian Chen & David E. Giles, 2008. "Finite-Sample Moments of the MLE for the Binary Logit Model," Econometrics Working Papers 0801, Department of Economics, University of Victoria.
  • Handle: RePEc:vic:vicewp:0801
    Note: ISSN 1485-6441
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    File URL: https://www.uvic.ca/socialsciences/economics/_assets/docs/econometrics/ewp0801.pdf
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    More about this item

    Keywords

    Logit model; mean squared error; bias correction;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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