Admissible and Optimal Confidence Bands in Simple Linear Regression
Piegorsch, Walter W.
Ann. Statist., Tome 13 (1985) no. 1, p. 801-810 / Harvested from Project Euclid
A framework is presented for deciding among functional forms when constructing confidence bands in simple linear regression. Using the concept of tautness, definitions of admissibility and completeness are developed. These lead to a characterization of a minimal complete class of band forms. A type of average width optimality within this class is briefly discussed.
Publié le : 1985-06-14
Classification:  Simultaneous inference,  complete classes,  62C15,  62F25
@article{1176349558,
     author = {Piegorsch, Walter W.},
     title = {Admissible and Optimal Confidence Bands in Simple Linear Regression},
     journal = {Ann. Statist.},
     volume = {13},
     number = {1},
     year = {1985},
     pages = { 801-810},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176349558}
}
Piegorsch, Walter W. Admissible and Optimal Confidence Bands in Simple Linear Regression. Ann. Statist., Tome 13 (1985) no. 1, pp.  801-810. http://gdmltest.u-ga.fr/item/1176349558/