An asymptotic test on the stationarity of the variance

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dc.contributor.authorDehling, Herold
dc.contributor.authorFried, Roland
dc.contributor.authorWornowizki, Max
dc.date.accessioned2016-11-23T12:09:07Z
dc.date.available2016-11-23T12:09:07Z
dc.date.issued2016
dc.description.abstractWe reconsider a statistic introduced in Wornowizki et al. (2016) allowing to test the stationarity of the variance for a sequence of independent random variables. In- stead of determining rejection regions via the permutation principle as proposed before, we provide asymptotic critical values leading to huge savings in computation time. To prove the required limit theorems, the test statistic is viewed as a U-statistic constructed from blockwise variance estimates. Since the distribution of the test statistic depends on the sample size, a suitable new law of large numbers as well as a central limit theorem are developed. These asymptotic results are illustrated on artificial data. The permutation and asymptotic version of the test are compared to alternative procedures in extensive Monte Carlo experiments. The simulation results suggest that the methods offer similar results and high power when compared to their competitors, particularly in the case of multiple structural breaks. They also estimate the structural break positions adequately.en
dc.identifier.urihttp://hdl.handle.net/2003/35380
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-17421
dc.language.isoende
dc.relation.ispartofseriesDiscussion Paper / SFB823;71, 2016en
dc.subjectchange point analysisen
dc.subjectpiecewise identical distribution and U-statisticen
dc.subjectvarianceen
dc.subject.ddc310
dc.subject.ddc330
dc.subject.ddc620
dc.titleAn asymptotic test on the stationarity of the varianceen
dc.typeTextde
dc.type.publicationtypeworkingPaperde
dcterms.accessRightsopen access

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