Nonparametric drift estimation in a Lévy driven diffusion model

dc.contributor.authorFunke, Benedikt
dc.date.accessioned2015-10-07T13:23:04Z
dc.date.available2015-10-07T13:23:04Z
dc.date.issued2015
dc.description.abstractIn this article, a pointwise nonparametric kernel based estimator for the drift function in a Levy driven jump diffusion model is proposed. Under ergodicity and stationarity of the underlying process X, we derive asymptotic properties as consistency and asymptotic normality of the estimator. In addition, we propose a consistent estimator of the asymptotic variance. Moreover, we show that this approach is robust under microstructure noise by using the preaveraging approach proposed in Podolskij and Vetter (2006).en
dc.identifier.urihttp://hdl.handle.net/2003/34264
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-16341
dc.language.isoende
dc.relation.ispartofseriesDiscussion Paper / SFB 823;3,/2015en
dc.subjectkernel estimatoren
dc.subjectmicrostructure noiseen
dc.subjectjump diffusionen
dc.subject.ddc310
dc.subject.ddc330
dc.subject.ddc620
dc.titleNonparametric drift estimation in a Lévy driven diffusion modelen
dc.typeTextde
dc.type.publicationtypeworkingPaperde
dcterms.accessRightsopen access

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