Please use this identifier to cite or link to this item:
Spokoiny, Vladimir G.
Year of Publication: 
Series/Report no.: 
SFB 373 Discussion Paper 1998,1
We propose a method of adaptive estimation of a regression function and which is near optimal in the classical sense of the mean integrated error. At the same time, the estimator is shown to be very sensitive to discontinuities or change-points of the underlying function f or its derivatives. For instance, in the case of a jump of a regression function, beyond the interval of length (in order) n-1 log n around change-points the quality of estimation is essentially the same as if locations of jumps were known. The method is fully adaptive and no assumptions are imposed on the design, number and size of jumps. The results are formulated in a non-asymptotic way and can be therefore applied for an arbitrary sample size.
Persistent Identifier of the first edition: 
Document Type: 
Working Paper
Social Media Mentions:


Files in This Item:
355.27 kB

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