60
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

An algorithm for generalized monotonic smoothing

Pages 495-507 | Published online: 02 Aug 2010

  • Bacchetti , P. 1989 . Additive isotonic models . Journal of American Statistical Association , 84 : 289 – 294 .
  • Bartholomew , D. J. 1959 . A test of homogeneity of ordered alternatives . Biometrika , 46 : 36 – 48 .
  • Box , G. E. P. and Cox , D. R. 1964 . An analysis of transformations (with discussion) . Journal of Royal Statistical Society, B , 84 : 211 – 252 .
  • Craven , P. and Wahba , G. 1979 . Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation . Numerische Mathematik , 31 : 377 – 403 .
  • Hastie , T. J. and Tibshirani , R. J. 1990 . Generalized Additive Models , London : Chapman and Hall .
  • Hastie , T. and Tibshirani , R. 1986 . Generalized additive models . Statistical Science , 1 : 297 – 310 .
  • He , X. and Shi , P. 1998 . Monotone b-spine smoothing . Journal of American Statistical Association , 93 : 643 – 500 .
  • Heckman , N. and Ramsay , J. O. 1997 . “ Penalized regression with model-based penalties ” . unpublished
  • Leonard , T. 1978 . Density estimation, stochastic proceand prior information . Journal of the Royal Statistical Society, Series B , 40 : 113 – 146 .
  • Mammen , E. 1991 . Estimating a smooth monotone regression function . The Annals of Statistics , 19 : 724 – 740 .
  • McCullagh , P. and Nelder , J. 1989 . Generalized Linear Models, , 2nd edn , New York : Chapman and Hall .
  • Mukerjee , H. 1988 . Monotone nonparametric regression . The Annals of Statistics , 16 : 741 – 750 .
  • Nelder , J. A. and Wedderburn , R. W. M. 1972 . Generalized linear models . Journal of Royal Statistical Society, A , 135 : 370 – 384 .
  • O'Sullivan , F. , Yandell , B. S. and Raynor , W. J. J. 1986 . Automatic smoothing of regression functions in generalized linear models . Journal of American Statistical Association , 81 : 96 – 103 .
  • Ramsay , J. O. 1988 . Monotone regression splines in action . Statistical Science , 3 (4) : 425 – 461 .
  • Ramsay , J. O. 1998a . Curve registration . Journal of Royal Statistical Society, Series B , 60 : 351 – 363 .
  • Ramsay , J. O. 1998b . Estimating smooth monotone functions . Journal of Royal Statistical Society, Series B , 60 : 365 – 375 .
  • Venables , W. N. and Ripley , B. D. 1997 . Modern Applied Statistics With S-Plus, , 2nd edn , New York : Springer Verlag .
  • Wahba , G. 1990 . Splines Models for Observational Data , Philadelphia : SIAM .
  • Wahba , G. , Wang , Y. , Gu , C. , Klein , R. and Klein , B. 1995 . Smoothing spline anova for exponential families, with application to wisconsin epidemiological study of diabetic retinopathy . The Annals of Statistics , 23 : 1865 – 1895 .
  • Wright , F. T. 1981 . The asymptotic behavior of monotone regression estimates . The Annals of Statistics , 9 : 443 – 448 .
  • Ye , J. 1998 . On measuring and correcting the eVects of data mining and model selection . Journal of American Statistical Association , 93 : 102 – 120 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.