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Pregibit: A Family of Discrete Choice Models


  • Vijverberg, Chu-Ping C.

    () (Wichita State University)

  • Vijverberg, Wim P.

    () (CUNY Graduate Center)


The pregibit discrete choice model is built on a distribution that allows symmetry or asymmetry and thick tails, thin tails or no tails. Thus the model is much richer than the traditional models that are typically used to study behavior that generates discrete choice outcomes. Pregibit nests logit, approximately nests probit, loglog, cloglog and gosset models, and yields a linear probability model that is solidly founded on the discrete choice framework that underlies logit and probit.

Suggested Citation

  • Vijverberg, Chu-Ping C. & Vijverberg, Wim P., 2012. "Pregibit: A Family of Discrete Choice Models," IZA Discussion Papers 6359, Institute for the Study of Labor (IZA).
  • Handle: RePEc:iza:izadps:dp6359

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    References listed on IDEAS

    1. E. Roy Weintraub & Evelyn L. Forget, 2007. "Introduction," History of Political Economy, Duke University Press, vol. 39(5), pages 1-6, Supplemen.
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    4. Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2011. "Alternative Estimating And Testing Empirical Strategies For Fractional Regression Models," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 19-68, February.
    5. Vijverberg, Wim P. M. & Zeager, Lester A., 1994. "Comparing earnings profiles in urban areas of an LDC: Rural-to-urban migrants vs. native workers," Journal of Development Economics, Elsevier, vol. 45(2), pages 177-199, December.
    6. Harry W. Richardson & Peter Gordon & James E. Moore, 2007. "Introduction," Chapters,in: The Economic Costs and Consequences of Terrorism, chapter 1 Edward Elgar Publishing.
    7. Laitila, Thomas, 1993. "A pseudo-R2 measure for limited and qualitative dependent variable models," Journal of Econometrics, Elsevier, vol. 56(3), pages 341-355, April.
    8. Stijn Kelchtermans & Frank Verboven, 2010. "Participation and study decisions in a public system of higher education," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(3), pages 355-391.
    9. Mroz, Thomas A, 1987. "The Sensitivity of an Empirical Model of Married Women's Hours of Work to Economic and Statistical Assumptions," Econometrica, Econometric Society, vol. 55(4), pages 765-799, July.
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    Cited by:

    1. Doğan, Osman & Taşpınar, Süleyman, 2013. "GMM estimation of spatial autoregressive models with moving average disturbances," Regional Science and Urban Economics, Elsevier, vol. 43(6), pages 903-926.
    2. Vijverberg, Wim P. & Hasebe, Takuya, 2015. "GTL Regression: A Linear Model with Skewed and Thick-Tailed Disturbances," IZA Discussion Papers 8898, Institute for the Study of Labor (IZA).

    More about this item


    post-secondary education; probit; logit; asymmetry; discrete choice; mortgage application;

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

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