Local fitting with a power basis

Local fitting with a power basis

Local polynomial modelling can be seen as a local fit of the data against a polynomial basis. In this paper we extend this method to the power basis, i.e. a basis which consists of the powers of an arbitrary function. Using an extended Taylor theorem, we derive asymptotic expressions for bias and v...

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Bibliographic Details
Main Author: Jochen Einbeck
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2004-11-01
Series:Revstat Statistical Journal
Subjects:
local polynomial fitting
Taylor expansion
power basis
bias reduction
Online Access:https://revstat.ine.pt/index.php/REVSTAT/article/view/10

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