Asymptotic design and estimation using linear splines

1 January 1978

journal article
research article
Published by Taylor & Francis in Communications in Statistics - Simulation and Computation

Vol. 7 (4) , 309-319
https://doi.org/10.1080/03610917808812080

Abstract

The estimation of a regression function g using linear splines is considered. The integrated mean square error is minimized using choice of estimator, allocation of observations and displacement of knots.

Keywords

INTEGRATED MEAN SQUARE ERROR
LAGRANGE BASIS
LEAST SQUARE ESTIMATOR
BIAS MINIMIZING ESTIMATOR
ITERATION

This publication has 4 references indexed in Scilit:

Optimum Designs for Fitting Biased Multiresponse Surfaces11Prepared under NSF Grant GP24438.
Published by Elsevier ,1973
Admissible Designs for Polynomial Spline Regression
The Annals of Mathematical Statistics, 1969
Minimum Bias Estimation and Experimental Design for Response Surfaces
Technometrics, 1969
A Basis for the Selection of a Response Surface Design
Journal of the American Statistical Association, 1959