Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/1141
Title: On the estimation of the derivatives of a function with the derivatives of an estimate
Authors: Yatracos, Yannis G. 
Major Field of Science: Social Sciences
Field Category: Media and Communications
Keywords: Convergence;Estimation
Issue Date: Jan-1989
Source: Journal of Multivariate Analysis, 1989, vol. 28, no. 1. pp.172-175
Volume: 28
Issue: 1
Start page: 172
End page: 175
Journal: Journal of Multivariate Analysis 
Abstract: Let θ̂n(x) be an estimator of a smooth function θ(x). It is proved that θ(x) can be estimated easier than its derivative θ(s)(x), providing for |θ̂n (s) - θ(s)|q an upper bound that depends on |θ̂n - θ|q. The same bound can be used as a tool to derive automatically rates of convergence when we are estimating derivatives of densities or regression functions.
URI: https://hdl.handle.net/20.500.14279/1141
ISSN: 0047259X
DOI: 10.1016/0047-259X(89)90102-4
Rights: © Elsevier
Type: Article
Affiliation : Columbia University 
Publication Type: Peer Reviewed
Appears in Collections:Άρθρα/Articles

CORE Recommender
Sorry the service is unavailable at the moment. Please try again later.
Show full item record

SCOPUSTM   
Citations

10
checked on Nov 9, 2023

WEB OF SCIENCETM
Citations 50

9
Last Week
0
Last month
0
checked on Oct 29, 2023

Page view(s)

612
Last Week
9
Last month
3
checked on Feb 22, 2025

Google ScholarTM

Check

Altmetric


Items in KTISIS are protected by copyright, with all rights reserved, unless otherwise indicated.