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Pregibit: A Family of Discrete Choice Models

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  • Vijverberg, Chu-Ping C.

    (Wichita State University)

  • Vijverberg, Wim P.

    (CUNY Graduate Center)

Abstract

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 of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp6359
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. Daryl Pregibon, 1980. "Goodness of Link Tests for Generalized Linear Models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(1), pages 15-24, March.
    5. Andreas Million & Regina T. Riphahn & Achim Wambach, 2003. "Incentive effects in the demand for health care: a bivariate panel count data estimation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(4), pages 387-405.
    6. Koenker, Roger & Yoon, Jungmo, 2009. "Parametric links for binary choice models: A Fisherian-Bayesian colloquy," Journal of Econometrics, Elsevier, vol. 152(2), pages 120-130, October.
    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.
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    Citations

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    Cited by:

    1. Hasebe, Takuya & Vijverberg, Wim P., 2012. "A Flexible Sample Selection Model: A GTL-Copula Approach," IZA Discussion Papers 7003, Institute of Labor Economics (IZA).
    2. Vijverberg, Wim P. & Hasebe, Takuya, 2015. "GTL Regression: A Linear Model with Skewed and Thick-Tailed Disturbances," IZA Discussion Papers 8898, Institute of Labor Economics (IZA).
    3. Brathwaite, Timothy & Walker, Joan L., 2018. "Asymmetric, closed-form, finite-parameter models of multinomial choice," Journal of choice modelling, Elsevier, vol. 29(C), pages 78-112.
    4. 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.

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    More about this item

    Keywords

    post-secondary education; probit; logit; asymmetry; discrete choice; mortgage application;
    All these keywords.

    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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