Arbeitspapier

Component analysis for additive models

We consider the component analysis problem for a regression model with an additive structure. The problem is to check the hypothesis of linearity for each component without specifying the structure of the remaining components. In this paper we show that under mild conditions on the design and smoothness of the regression function, each component can be tested with the rate corresponding to the case if all the remaining components were known. The proposed procedure is based on the Haar transform and it is computationally straightforward.

Language
Englisch

Bibliographic citation
Series: SFB 373 Discussion Paper ; No. 1997,52

Classification
Wirtschaft
Subject
additive model
component analysis
Haar basis
hypothesis of linearity
nonparametric alternative
regression

Event
Geistige Schöpfung
(who)
Härdle, Wolfgang
Sperlich, Stefan
Spokoiny, Vladimir G.
Event
Veröffentlichung
(who)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(where)
Berlin
(when)
1997

Handle
URN
urn:nbn:de:kobv:11-10064328
Last update
10.03.2025, 11:45 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Härdle, Wolfgang
  • Sperlich, Stefan
  • Spokoiny, Vladimir G.
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Time of origin

  • 1997

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