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Asymptotic Properties of Predicted Probabilities in Discrete Regression

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  • J.S. Cramer

    (University of Amsterdam)

Abstract

The discrete outcome of a probability model is recordedas Y(i)=1 while otherwise Y(i)=0. y is the vector of observedoutcomes, p the corresponding probabilities, p^a consistent estimate of p, and residuals are defined ase = y - p^. Under quite general conditions, theasymptotic properties of p^ ensure that these residualshave zero mean and are uncorrelated with p^. Theseasymptotic results extend to the multinomial case. Theysupport certain measures of fit for discrete models.

Suggested Citation

  • J.S. Cramer, 2000. "Asymptotic Properties of Predicted Probabilities in Discrete Regression," Tinbergen Institute Discussion Papers 00-006/4, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20000006
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    Cited by:

    1. Bassett, William F. & Chosak, Mary Beth & Driscoll, John C. & Zakrajšek, Egon, 2014. "Changes in bank lending standards and the macroeconomy," Journal of Monetary Economics, Elsevier, vol. 62(C), pages 23-40.

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