Please use this identifier to cite or link to this item: http://ktisis.cut.ac.cy/handle/10488/6704
Title: On the estimation of the derivatives of a function with the derivatives of an estimate
Authors: Yatracos, Yannis G. 
Keywords: Convergence
Estimation
Issue Date: 1989
Publisher: Elsevier
Source: Journal of Multivariate Analysis, 1986, Volume 28, Issue 1, , Pages 172-175
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: http://ktisis.cut.ac.cy/handle/10488/6704
ISSN: 0047259X
DOI: 10.1016/0047-259X(89)90102-4
Rights: © 1989 Elsevier B.V. All rights reserved.
Appears in Collections:Άρθρα/Articles

Show full item record

SCOPUSTM   
Citations 20

9
checked on Apr 10, 2017

WEB OF SCIENCETM
Citations 20

8
checked on Apr 26, 2017

Page view(s) 50

14
checked on Apr 27, 2017

Google ScholarTM

Check

Altmetric


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