A stepwise approach for the purely periodic interaction spline model
- 1 January 1987
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 16 (3) , 877-895
- https://doi.org/10.1080/03610928708829409
Abstract
The basic idea of an interaction spline model was presented in Barry (1983). The general interaction spline models were proposed by Wahba (1986). The purely periodic spline model, a special case of the general interaction spline models, is considered in this paper. A stepwise approach using generalized cross validation (GCV) for fitting the model is proposed. Based on the nice orthogonality properties of the purely periodic functions, the stepwise approach is a promising method for the interaction spline model. The approach can also be generalized to the non-purely-periodic spline models. But this is no done here.Keywords
This publication has 4 references indexed in Scilit:
- Nonparametric Bayesian RegressionThe Annals of Statistics, 1986
- Additive Regression and Other Nonparametric ModelsThe Annals of Statistics, 1985
- Smoothing noisy data with spline functionsNumerische Mathematik, 1978
- Theory of reproducing kernelsTransactions of the American Mathematical Society, 1950