Application of Mazur–Orlicz's theorem in AMISE calculation
Applicationes Mathematicae 29 (2002), 33-41 MSC: 41A35, 41A60, 62G07, 62G20. DOI: 10.4064/am29-1-4
An approximation error and an asymptotic formula are given for shift invariant operators of polynomial order $\varrho $. Density estimators based on shift invariant operators are introduced and AMISE is calculated.