Application of Mazur-Orlicz's theorem in AMISE calculation

• Autorzy: Karol Dziedziul
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 62G07: Density estimation
• 62G20: Asymptotic properties
• 41A60: Asymptotic approximations, asymptotic expansions (steepest descent, etc.)
• 41A35: Approximation by operators (in particular, by integral operators)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2002
• Tom: 29
• Numer: 1
• Strony: 33-41

Daty

wydano

2002

Twórcy

autor

Karol Dziedziul

• Faculty of Applied Mathematics, Technical University of Gdańsk, G. Narutowicza 11/2, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/am29-1-4