Testing for a constant coefficient of variation in nonparametric regression

dc.contributor.authorDette, Holger
dc.contributor.authorWieczorek, Gabriele
dc.date.accessioned2007-12-04T14:07:21Z
dc.date.available2007-12-04T14:07:21Z
dc.date.issued2007-12-04T14:07:21Z
dc.description.abstractIn this paper we propose a new test for the hypothesis of a constant coefficient of variation in the common nonparametric regression model. The test is based on an estimate of the L2- distance between the square of the regression function and variance function. We prove asymptotic normality of a standardized estimate of this distance under the null hypothesis and fixed alternatives and the finite sample properties of a corresponding bootstrap test are investigated by means of a simulation study. The results are applicable to stationary processes with the common mixing conditions and are used to construct tests for ARCH assumptions in financial time series.en
dc.identifier.urihttp://hdl.handle.net/2003/24903
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-15933
dc.language.isoende
dc.subjectConstant cofficient of variationen
dc.subjectGeneralized nonparametric regression modelsen
dc.subjectMultiplicative error structureen
dc.subjectNonparametric regressionen
dc.subjectStationary processesen
dc.subject.ddc004
dc.titleTesting for a constant coefficient of variation in nonparametric regressionen
dc.typeTextde
dc.type.publicationtypereporten
dcterms.accessRightsopen access

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