Skip to main content
×
Home
    • Aa
    • Aa
  • Access
  • Cited by 4
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Prvan, T. 1997. Smoothing splines with variable continuity properties and degree. Applied Mathematics Letters, Vol. 10, Issue. 2, p. 75.


    Prvan, T. 1995. Integrating noisy data. Applied Mathematics Letters, Vol. 8, Issue. 6, p. 83.


    Osborne, M. R. and Prvan, Tania 1991. What is the Covariance Analog of the Paige and Saunders Information Filter?. SIAM Journal on Scientific and Statistical Computing, Vol. 12, Issue. 6, p. 1324.


    Prvan, Tania and Osborne, M. R. 1988. A square-root fixed-interval discrete-time smoother. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Vol. 30, Issue. 01, p. 57.


    ×
  • The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, Volume 30, Issue 1
  • July 1988, pp. 43-56

Smoothness and conditioning in generalised smoothing spline calculations

  • M. R. Osborne (a1) and Tania Prvan (a2)
  • DOI: http://dx.doi.org/10.1017/S0334270000006020
  • Published online: 01 February 2009
Abstract
Abstract

We consider a generalisation of the stochastic formulation of smoothing splines, and discuss the smoothness properties of the resulting conditional expectation (generalised smoothing spline), and the sensitivity of the numerical algorithms. One application is to the calculation of smoothing splines with less than the usual order of continuity at the data points.

    • Send article to Kindle

      To send this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Smoothness and conditioning in generalised smoothing spline calculations
      Your Kindle email address
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      Smoothness and conditioning in generalised smoothing spline calculations
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      Smoothness and conditioning in generalised smoothing spline calculations
      Available formats
      ×
Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[2]C. F. Ansley and R. Kohn , “Estimation, filtering and smoothing in state space models with incompletely specified initial conditions”, Ann. Statist. 13 (1985) 12861316.

[3]D. B. Duncan and S. D. Horn , “Linear dynamic recursive estimation from the viewpoint of regression analysis”, J. Amer. Statist. Assoc. 67 (1972) 816821.

[4]T. M. Gerig and A. R. Gallant , “Computing methods for linear models subject to linear constraints”, J. Statist. Comput. Simulation (1975) 283296.

[8]C. C. Paige , “Computer solution and perturbation analysis of generalised linear least squares problems”, Math. Comp. 33 (1979), 171184.

[9]C. C. Paige and M. A. Saunders , “Least squares estimation of discrete linear dynamic systems using orthogonal transformations”, SIAM J. Numer. Anal. 14 (1977) 180193.

[11]W. Wecker and C. F. Ansley , “The signal extraction approach to nonlinear regression and spline smoothing”, J. Amer. Statist. Assoc. 78 (1983) 8189.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

The ANZIAM Journal
  • ISSN: 1446-1811
  • EISSN: 1446-8735
  • URL: /core/journals/anziam-journal
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax