Skip to main content

Additive Models for Quantile Regression: An Analysis of Risk Factors for Malnutrition in India

  • Conference paper
  • First Online:
Advances in Social Science Research Using R

Part of the book series: Lecture Notes in Statistics ((LNSP,volume 196))

Abstract

This brief report describes some recent developments of the R quantreg package to incorporate methods for additive models. The methods are illustrated with an application to modeling childhood malnutrition in India.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Fenske, N., Kneib, T., Hothorn, T.: Identifying risk factors for severe childhood malnutrition by boosting additive quantile regression (2008). Preprint

    Google Scholar 

  2. Hastie, T., Tibshirani, R.: Generalized additive models. Statistical Science 1, 297–310 (1986)

    Article  MathSciNet  Google Scholar 

  3. Hastie, T., Tibshirani, R.: Generalized Additive Models. Chapman-Hall (1990)

    Google Scholar 

  4. Hotelling, H.: Tubes and spheres in n-space and a class of statistical problems. American J of Mathematics 61, 440–460 (1939)

    Article  MathSciNet  Google Scholar 

  5. Koenker, R.: Quantile Regression. Cambridge U. Press, London (2005)

    Google Scholar 

  6. Koenker, R.: quantreg: A quantile regression package for r (2009). http://cran.r-project.org/src/contrib/PACKAGES.html#quantreg

  7. Koenker, R., Mizera, I.: Penalized triograms: total variation regularization for bivariate smoothing. J. Royal Stat. Soc. (B) 66, 145–163 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  8. Koenker, R., Ng, P.: A frisch-newton algorithm for sparse quantile regression. Mathematicae Applicatae Sinica 21, 225–236 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  9. Koenker, R., Ng, P., Portnoy, S.: Quantile smoothing splines. Biometrika 81, 673–680 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  10. Krivobokova, T., Kneib, T., Claeskens, G.: Simultaneous confidence bands for penalized spline estimators (2009). Preprint

    Google Scholar 

  11. Meyer, M., Woodroofe, M.: On the degrees of freedom in shape-restricted regression. Annals of Stat. 28, 1083–1104 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  12. Nychka, D.: Bayesian confidence intervals for smoothing splines. J. of Am. Stat. Assoc. 83, 1134–43 (1983)

    Google Scholar 

  13. Pötscher, B., Leeb, H.: On the distribution of penalized maximum likelihood estimators: The lasso, scad and thresholding. J. Multivariate Analysis (2009). Forthcoming

    Google Scholar 

  14. Powell, J.L.: Estimation of monotonic regression models under quantile restrictions. In: W. Barnett, J. Powell, G. Tauchen (eds.) Nonparametric and Semiparametric Methods in Econometrics. Cambridge U. Press: Cambridge (1991)

    Google Scholar 

  15. Wahba, G.: Bayesian ”confidence intervals” for the cross-validated smoothing spline. J. Royal Stat. Soc. (B) 45, 133–50 (1983)

    Google Scholar 

  16. Wood, S.: Generalized Additive Models: An Introduction with R. Chapman-Hall (2006)

    Google Scholar 

  17. Wood, S.: mgcv: Gams with gcv/aic/reml smoothness estimation and gamms by pql (2009). http://cran.r-project.org/src/contrib/PACKAGES.html#mgcv

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roger Koenker .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag New York

About this paper

Cite this paper

Koenker, R. (2010). Additive Models for Quantile Regression: An Analysis of Risk Factors for Malnutrition in India. In: Vinod, H. (eds) Advances in Social Science Research Using R. Lecture Notes in Statistics(), vol 196. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1764-5_2

Download citation

Publish with us

Policies and ethics