An exact confidence band for one-dimensional polynomial regression Export

@article{citeulike:4995423, abstract = {An exact piecewise polynomial simultaneous confidence band is described for one-dimensional (p--1)th order polynomial regression. The band is constructed by placing intervals around the estimated response at the zeros of the pth order orthogonal polynomial with respect to the design points. Since under the usual assumptions the response estimates are uncorrelated at these zeros, the construction of the exact band in the normal case is made easy. 10.1093/biomet/71.2.375}, author = {Wynn, H. P.}, citeulike-article-id = {4995423}, citeulike-linkout-0 = {http://dx.doi.org/10.1093/biomet/71.2.375}, citeulike-linkout-1 = {http://biomet.oxfordjournals.org/cgi/content/abstract/71/2/375}, day = {1}, doi = {10.1093/biomet/71.2.375}, journal = {Biometrika}, keywords = {confidence\_band, fda}, month = {August}, number = {2}, pages = {375--379}, posted-at = {2009-06-28 07:14:00}, priority = {2}, title = {An exact confidence band for one-dimensional polynomial regression}, url = {http://dx.doi.org/10.1093/biomet/71.2.375}, volume = {71}, year = {1984} }

TY - JOUR ID - citeulike:4995423 L3 - citeulike-article-id:4995423 N2 - An exact piecewise polynomial simultaneous confidence band is described for one-dimensional (p--1)th order polynomial regression. The band is constructed by placing intervals around the estimated response at the zeros of the pth order orthogonal polynomial with respect to the design points. Since under the usual assumptions the response estimates are uncorrelated at these zeros, the construction of the exact band in the normal case is made easy. 10.1093/biomet/71.2.375 IS - 2 JF - Biometrika EP - 379 TI - An exact confidence band for one-dimensional polynomial regression VL - 71 SP - 375 KW - confidence_band KW - fda AU - Wynn, HP PY - 1984/08/01/ UR - http://dx.doi.org/10.1093/biomet/71.2.375 ER -