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Quantiles for Fractions and Other Mixed Data

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  • Machado, Jose A F
  • Santos Silva, Joao M C

Abstract

This paper studies the estimation of quantile regression for fractional data, focusing on the case where there are mass-points at zero or/and one. More generally, we propose a simple strategy for the estimation of the conditional quantiles of data from mixed distributions, which combines standard results on the estimation of censored and Box-Cox quantile regressions. The implementation of the proposed method is illustrated using a well-known dataset.

Suggested Citation

  • Machado, Jose A F & Santos Silva, Joao M C, 2008. "Quantiles for Fractions and Other Mixed Data," Economics Discussion Papers 3550, University of Essex, Department of Economics.
  • Handle: RePEc:esx:essedp:3550
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    File URL: http://repository.essex.ac.uk/3550/
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    References listed on IDEAS

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    1. Moshe Buchinsky & Jinyong Hahn, 1998. "An Alternative Estimator for the Censored Quantile Regression Model," Econometrica, Econometric Society, vol. 66(3), pages 653-672, May.
    2. Taisuke Otsu, 2009. "RESET for quantile regression," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 18(2), pages 381-391, August.
    3. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    4. Duan, Naihua, et al, 1983. "A Comparison of Alternative Models for the Demand for Medical Care," Journal of Business & Economic Statistics, American Statistical Association, vol. 1(2), pages 115-126, April.
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    Cited by:

    1. Achim Schmillen & Joachim Möller, 2009. "Determinants of Lifetime Unemployment - A Micro Data Analysis with Censored Quantile Regressions," Working Papers 275, Leibniz Institut für Ost- und Südosteuropaforschung (Institute for East and Southeast European Studies).
    2. 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.
    3. Schmillen, Achim & Möller, Joachim, 2012. "Distribution and determinants of lifetime unemployment," Labour Economics, Elsevier, vol. 19(1), pages 33-47.
    4. Moreno-Munoz, A. & Rosa, Juan José González de la & Flores-Arias, J.M. & Bellido-Outerino, F.J. & Gil-de-Castro, A., 2011. "Energy efficiency criteria in uninterruptible power supply selection," Applied Energy, Elsevier, vol. 88(4), pages 1312-1321, April.
    5. Machado, José A.F. & Santos Silva, J.M.C. & Wei, Kehai, 2016. "Quantiles, corners, and the extensive margin of trade," European Economic Review, Elsevier, vol. 89(C), pages 73-84.

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