Fremdt, Stefan (2015). Page's sequential procedure for change-point detection in time series regression. Statistics, 49 (1). S. 128 - 156. ABINGDON: TAYLOR & FRANCIS LTD. ISSN 1029-4910

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Abstract

In a variety of different settings cumulative sum (CUSUM) procedures have been applied for the sequential detection of structural breaks in the parameters of stochastic models. Yet their performance depends strongly on the time of change and is best under early change scenarios. For later changes their finite sample behavior is rather questionable. We therefore propose modified CUSUM procedures for the detection of abrupt changes in the regression parameter of multiple time series regression models, that show a higher stability with respect to the time of change than ordinary CUSUM procedures. The asymptotic distributions of the test statistics and the consistency of the procedures are provided. In a simulation study it is shown that the proposed procedures behave well in finite samples. Finally the procedures are applied to a set of capital asset pricing data related to the Fama-French extension of the CAPM.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Fremdt, StefanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-414834
DOI: 10.1080/02331888.2013.870568
Journal or Publication Title: Statistics
Volume: 49
Number: 1
Page Range: S. 128 - 156
Date: 2015
Publisher: TAYLOR & FRANCIS LTD
Place of Publication: ABINGDON
ISSN: 1029-4910
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
GARCHMultiple languages
Statistics & ProbabilityMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/41483

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