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Sheep in Wolf’s clothing: Using the least squares criterion for quantile estimation

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  • Chen, Heng

Abstract

This paper proposes using the Gaussian approximation, also known as quantile coupling, to estimate a quantile model. The quantile coupling allows one to apply the standard Gaussian-based estimation and inference to the transformed data set. The resulting estimator is asymptotically normal with a parametric convergence rate. This method is faster than the conventional check function approach, when handling a sizable data set.

Suggested Citation

  • Chen, Heng, 2014. "Sheep in Wolf’s clothing: Using the least squares criterion for quantile estimation," Economics Letters, Elsevier, vol. 125(3), pages 426-431.
    • Handle: RePEc:eee:ecolet:v:125:y:2014:i:3:p:426-431
    DOI: 10.1016/j.econlet.2014.09.035
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    1. Koenker,Roger, 2005. "Quantile Regression," Cambridge Books, Cambridge University Press, number 9780521845731, January.
    2. Cramer, Erhard & Kamps, Udo & Rychlik, Tomasz, 2002. "On the existence of moments of generalized order statistics," Statistics & Probability Letters, Elsevier, vol. 59(4), pages 397-404, October.
    3. Koenker, Roger & Bassett, Gilbert, Jr, 1982. "Robust Tests for Heteroscedasticity Based on Regression Quantiles," Econometrica, Econometric Society, vol. 50(1), pages 43-61, January.
    4. Buchinsky, Moshe, 1995. "Estimating the asymptotic covariance matrix for quantile regression models a Monte Carlo study," Journal of Econometrics, Elsevier, vol. 68(2), pages 303-338, August.
    5. Chu, Ba & Jacho-Chávez, David T., 2012. "k-NEAREST NEIGHBOR ESTIMATION OF INVERSE-DENSITY-WEIGHTED EXPECTATIONS WITH DEPENDENT DATA," Econometric Theory, Cambridge University Press, vol. 28(4), pages 769-803, August.
    6. Roger Koenker & Zhijie Xiao, 2002. "Inference on the Quantile Regression Process," Econometrica, Econometric Society, vol. 70(4), pages 1583-1612, July.
    7. Frank Marohn, 2005. "Exponential inequalities for tail probabilities of generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 61(3), pages 251-260, June.
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    More about this item

    Keywords

    Quantile coupling; Quantile model; Least squares estimation;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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