A note on mse coverage intervals in a partial spline model
- 1 January 1987
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 16 (7) , 1851-1866
- https://doi.org/10.1080/03610928708829477
Abstract
A partial spline model is used to estimate an unknown function which is smooth except for some break points. Assuming the break points are known, a Generalized Cross-Validated smoothing spline estimation method is proposed. Some interval estimation methods for the magnitude of the discontinuities based on the mean square error are introduced and investigated.Keywords
This publication has 7 references indexed in Scilit:
- Semiparametric Estimates of the Relation Between Weather and Electricity SalesJournal of the American Statistical Association, 1986
- From Stein's Unbiased Risk Estimates to the Method of Generalized Cross ValidationThe Annals of Statistics, 1985
- Smoothness Priors and Nonlinear RegressionJournal of the American Statistical Association, 1984
- CONSTRAINED REGULARIZATION FOR ILL POSED LINEAR OPERATOR EQUATIONS, WITH APPLICATIONS IN METEOROLOGY AND MEDICINE11This work was supported by the Office of Naval Research under Contract No. N00014-77-C-0675.Published by Elsevier ,1982
- Smoothing noisy data with spline functionsNumerische Mathematik, 1978
- Improper Priors, Spline Smoothing and the Problem of Guarding Against Model Errors in RegressionJournal of the Royal Statistical Society Series B: Statistical Methodology, 1978
- Some results on Tchebycheffian spline functionsJournal of Mathematical Analysis and Applications, 1971