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Bayesian Models

Regression Adjustment for Noncrossing Bayesian Quantile Regression

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Pages 275-284 | Received 01 Feb 2015, Published online: 24 Apr 2017

References

  • Benoit, D. F., Al-Hamzawi, R., Yu, K., and den Poel, D. V.(2014), bayesQR: Bayesian Quantile Regression, R package version 2.2.
  • Bondell, H. D., Reich, B. J., and Wang, H. (2010), “Noncrossing Quantile Regression Curve Estimation,” Biometrika, 97, 825–838.
  • Chen, C., and Yu, K. (2009), “Automatic Bayesian Quantile Regression Curve Fitting,” Statistics and Computing, 19, 271–281.
  • Chernozhukov, V., Fernandez-Val, I., and Galichon, A. (2009), “Improving Point and Interval Estimators of Monotone Functions by Rearrangement,” Biometrika, 96, 559–575.
  • Dette, H., and Volgushev, S. (2008), “Non-Crossing Non-Parametric Estimates of Quantile Curves,” Journal of the Royal Statistical Society, Series B, 70, 609–627.
  • Dortet-Bernadet, J.-L., and Fan, Y. (2012), “On Bayesian Quantile Regression Curve Fitting via Auxiliary Variables, arXiv:1202.5883v1[stat.ME].
  • Dunson, D. B., and Taylor, J. A.(2005), “Approximate Bayesian Inference for Quantiles,” Journal of Nonparametric Statistics, 17, 385–400.
  • Feng, Y., Chen, Y., and He, X. (2015), “Bayesian Quantile Regression With Approximate Likelihood,” Bernoulli, 21, 832–850.
  • Hall, P., Wolff, R. C. L., and Yao, Q. (1999), “Methods for Estimating a Conditional Distribution Function,” Journal of the American Statistical Association, 94, 154–163.
  • He, X. (1997), “Quantile Curves Without Crossing,” The American Statistician, 51, 186–192.
  • Isaacs, D., Altman, D. G., Tidmarsh, C. E., Valman, H. B., and Webster, A. D. B.(1983), “Serum Immunoglobulin Concentration in Preschool Children Measured by Laser Nephelometry: Reference Ranges for IgG, IgA, IgM,” Journal of Clinical Pathology, 36, 1193–1196.
  • Koenker, R. (2005), Quantile Regression, Cambridge: Cambridge University Press.
  • Koenker, R., and Bassett, G. (1978), “Regression Quantiles,” Econometrica, 46, 33–50.
  • Kottas, A., and Krnjajic, M. (2009), “Bayesian Semiparametric Modelling in Quantile Regression,” Scandinavian Journal of Statistics, 36, 297–319.
  • Lancaster, T., and Jun, S. J.(2010), “Bayesian Quantile Regression Methods,” Journal of Applied Econometrics, 25, 287–307.
  • Menéndez, P., Fan, Y., Garthwaite, P. H., and Sisson, S. A.(2014), “Simultaneous Adjustment of Bias and Coverage Probabilities for Confidence Intervals,” Computational Statistics & Data Analysis, 70, 35–44.
  • Nerem, R. S., Chambers, D. P., Choe, C., and Mitchum, G. T.(2010), “Estimating Mean Sea Level Change From the Topex and Jason Altimeter Missions, Marine Geodesy, 33, S1, 435–446.
  • R Core Team (2014), R: A Language and Environment for Statistical Computing, Vienna: R Foundation for Statistical Computing.
  • Rasmussen, C. E., and Williams, C. K. I.(2006), Gaussian Processes for Machine Learning, Cambridge, MA: MIT Press.
  • Reich, B. J., Bondell, H. D., and Wang, H. J.(2010), “Flexible Bayesian Quantile Regression for Independent and Clustered Data,” Biostatistics, 11, 337–352.
  • Reich, B. J., Fuentes, M., and Dunson, D. B.(2011), “Bayesian Spatial Quantile Regression,” Journal of the American Statistical Association, 106, 6–20.
  • Reich, B. J., and Smith, L. B.(2013), “Bayesian Quantile Regression for Censored Data,” Biometrics, 69, 651–660.
  • Scaccia, L., and Green, P. J.(2003), “Bayesian Growth Curves Using Normal Mixtures With Nonparametric Weights,” Journal of Computational and Graphical Statistics, 12, 308–331.
  • Smith, L., and Reich, B. (2013), BSquare: Bayesian Simultaneous Quantile Regression, R package version 1.1.
  • Sriram, K., Ramamoorthi, R. V., and Ghosh, P. (2013), “Posterior Consistency of Bayesian Quantile Regression Based on the Misspecified Asymmetric Laplace Density,” Bayesian Analysis, 8, 1–26.
  • Taddy, M. A., and Kottas, A. (2010), “A Bayesian Nonparametric Approach to Inference for Quantile Regression,” Journal of Business & Economic Statistics, 28, 357–369.
  • Thompson, P., Cai, Y., Moyeed, R. A., Reeve, D., and Stander, J. (2010), “Bayesian Nonparametric Quantile Regression Using Splines,” Computational Statistics and Data Analysis, 54, 1138–1150.
  • Tokdar, S. T., and Kadane, J. B.(2012), “Simultaneous Linear Quantile Regression: A Semiparametric Bayesian Approach,” Bayesian Analysis, 7, 51–72.
  • Yang, Y., and He, X. (2012), “Bayesian Empirical Likelihood for Quanitle Regression,” The Annals of Statistics, 40, 1102–1131.
  • ——— (2015), “Quantile Regression for Spatially Correlated Data: An Empirical Likelihood Approach,” Statistica Sinica, 25, 261–274.
  • Yang, Y., and Tokdar, S. (2016), “Joint Estimation of Quantile Planes Over Arbitrary Predictor Spaces, Journal of the American Statistical Association. DOI: 10.1080/01621459.2016.1192545.
  • Yu, K., and Jones, M. C.(1998), “Local Linear Quantile Regression,” Journal of the American Statistical Association, 93, 228–237.
  • Yu, K., and Moyeed, R. A.(2001), “Bayesian Quantiles Regression,” Statistics and Probability Letters, 54, 437–447.
  • Yu, K., and Zhang, J. (2005), “A Three-Parameter Asymmetric Laplace Distribution and Its Extension,” Communications in Statistics—Theory and Methods, 34, 1867–1879.

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