The QUANTREG Procedure |

Abreveya, J. (2001), “The Effects of Demographics and Maternal Behavior on the Distribution of Birth Outcomes,”

*Journal of Economics*, 26, 247–257.Barro, R. and Lee, J. W. (1994), "Data Set for a Panel of 138 Countries," discussion paper, National Bureau of Econometric Research. <http://www.nber.org/pub/barro.lee>.

Barrodale, I. and Roberts, F. D. K. (1973), “An Improved Algorithm for Discrete Linear Approximation,”

*SIAM Journal of Numerical Analysis,*10, 839–848.Bassett, G. W. and Koenker, R. (1982), "An Empirical Quantile Function for Linear Models with iid Errors,"

*Journal of the American Statistical Association*, 77, 401–415.Cade, B. S. and Noon B. R. (2003), "A Gentle Introduction to Quantile Regression for Ecologists,"

*Frontiers in Ecology and the Environment*, 1(8), 412–420.Chen, C. (2004), "An Adaptive Algorithm for Quantile Regression,"

*Theory and Applications of Recent Robust Methods*, ed. M. Hubert, G. Pison, A. Struyf, and S. Van Aelst, Series: Statistics for Industry and Technology, Birkhauser, Basel, 39–48.Chen, C. (2005), "Growth Charts of Body Mass Index (BMI) with Quantile Regression,"

*Proceedings of 2005 International Conference on Algorithmic Mathematics and Computer Science*, June 20–23, 2005, Las Vegas, Nevada.Chen, C. (2007), "A Finite Smoothing Algorithm for Quantile Regression,"

*Journal of Computational and Graphical Statistics*, 16, 136–164.Chock, D. P., Winkler, S. L., and Chen, C. (2000), "A Study of the Association between Daily Mortality and Ambient Air Pollutant Concentrations in Pittsburgh, Pennsylvania,"

*Journal of the Air and Waste Management Association*, 50, 1481–1500.Dunham, J. B., Cade, B. S., and Terrell J. W. (2002), "Influences of Spatial and Temporal Variation on Fish-Habitat Relationships Defined by Regression Quantiles,"

*Transactions of the American Fisheries Society*, 131, 86–98.Gutenbrunner, C. and Jureckova, J. (1992), "Regression Rank Scores and Regression Quantiles."

*Annals of Statistics*, 20, 305–330.Hastie, T., Tibshirani, R., and Friedman, J. (2001),

*The Elements of Statistical Learning,*New York: Springer-Verlag.He, X. and Hu, F. (2002), "Markov Chain Marginal Bootstrap,"

*Journal of the American Statistical Association*, 97, 783–795.Huber, P. J. (1981),

*Robust Statistics*, New York: John Wiley Sons.Karmarkar, N. (1984), "A New Polynomial-Time Algorithm for Linear Programming,"

*Combinatorica*, 4, 373–395.Koenker, R. (1994), "Confidence Intervals for Regression Quantiles,"

*Asymptotic Statistics*, eds. P. Mandl and M. Huskova, 349–359, New York: Springer-Verlag.Koenker, R. (2005),

*Quantile Regression*, New York: Cambridge University Press.Koenker, R. and Bassett, G. W. (1978), "Regression Quantiles,"

*Econometrica*, 46, 33–50.Koenker, R. and Bassett, G. W. (1982), "Robust Tests for Heteroscedasticity Based on Regression Quantiles,"

*Econometrica*, 50, 43–61.Koenker, R. and d’Orey, V. (1994), "Remark AS R92: A Remark on Algorithm AS 229: Computing Dual Regression Quantiles and Regression Rank Scores,"

*Applied Statistics*, 43, 410–414.Koenker, R. (1995), "Rank Tests for Linear Models,"

*The Handbook of Statistics*, 15, edited by C.R. Rao and G.S. Madalla.Koenker, R. and Hallock, K. (2001), "Quantile Regression: An Introduction,"

*Journal of Economic Perspectives*, 15, 143–156.Koenker, R. and Machado, A. F. (1999), "Goodness of Fit and Related Inference Processes for Quantile Regression,"

*Journal of the American Statistical Association*, 94, 1296–1310.Koenker, R. and Zhao, Q. (1994), “L-Estimation for Linear Heteroscedastic Models,”

*Journal of Nonparametric Statistics*, 3, 223–235.Kuczmarski, R. J., Ogden, C. L., Guo, S. S., et al. (2002), “2000 CDC Growth Charts for the United States: Methods and Development,”

*Vital Health Stat.*, 11, 246, 1–190.Lustig, I. J., Marsden, R. E., and Shanno, D. F. (1992), "On Implementing Mehrotra’s Predictor-Corrector Interior-Point Method for Linear Programming,"

*SIAM Journal on Optimization*, 2, 435–449.Madsen, K. and Nielsen, H. B. (1993), “A Finite Smoothing Algorithm for Linear Estimation,”

*SIAM Journal on Optimization*, 3, 223–235.Parzen, M. I., Wei, L. J., and Ying, Z. (1994), "A Resampling Method Based on Pivotal Estimating Functions,"

*Biometrika*, 81, 341–350.Portnoy, S. and Koenker, R. (1997), "The Gaussian Hare and the Laplacian Tortoise: Computation of Squared-Error vs. Absolute-Error Estimators,"

*Statistical Science*, 12, 279–300.Roos, C., Terlaky, T., and Vial, J.-Ph. (1997), "Theory and Algorithms for Linear Optimization," Chichester, England: John Wiley & Sons.

Rousseeuw, P. J. and Van Driessen, K. (1999), "A Fast Algorithm for the Minimum Covariance Determinant Estimator,"

*Technometrics*, 41, 212–223.Yu, K., Lu, Z., and Stabder, J. (2003), “Quantile Regression: Application and Current Research Areas,”

*The Statistician*, 52, 331–350.

Copyright © SAS Institute, Inc. All Rights Reserved.