An approximation error and an asymptotic formula are given for shift invariant operators of polynomial order ϱ. Density estimators based on shift invariant operators are introduced and AMISE is calculated.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-4, author = {Karol Dziedziul}, title = {Application of Mazur-Orlicz's theorem in AMISE calculation}, journal = {Applicationes Mathematicae}, volume = {29}, year = {2002}, pages = {33-41}, zbl = {1053.41024}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-4} }
Karol Dziedziul. Application of Mazur-Orlicz's theorem in AMISE calculation. Applicationes Mathematicae, Tome 29 (2002) pp. 33-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-1-4/