Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/56623 
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dc.contributor.authorNickl, Richarden
dc.contributor.authorReiß, Markusen
dc.date.accessioned2012-01-06-
dc.date.accessioned2012-04-05T16:12:07Z-
dc.date.available2012-04-05T16:12:07Z-
dc.date.issued2012-
dc.identifier.urihttp://hdl.handle.net/10419/56623-
dc.description.abstractGiven n equidistant realisations of a Lévy process (Lt; t >= 0), a natural estimator for the distribution function N of the Lévy measure is constructed. Under a polynomial decay restriction on the characteristic function, a Donsker-type theorem is proved, that is, a functional central limit theorem for the process in the space of bounded functions away from zero. The limit distribution is a generalised Brownian bridge process with bounded and continuous sample paths whose covariance structure depends on the Fourier-integral operator. The class of Lévy processes covered includes several relevant examples such as compound Poisson, Gamma and self-decomposable processes. Main ideas in the proof include establishing pseudo-locality of the Fourier-integral operator and recent techniques from smoothed empirical processes.en
dc.language.isoengen
dc.publisher|aHumboldt University of Berlin, Collaborative Research Center 649 - Economic Risk |cBerlinen
dc.relation.ispartofseries|aSFB 649 Discussion Paper |x2012-003en
dc.subject.jelC14en
dc.subject.jelC22en
dc.subject.ddc330en
dc.subject.keyworduniform central limit theoremen
dc.subject.keywordnonlinear inverse problemen
dc.subject.keywordsmoothed empirical processesen
dc.subject.keywordpseudo-differential operatorsen
dc.subject.keywordjump measureen
dc.subject.stwStochastischer Prozessen
dc.subject.stwSchätztheorieen
dc.subject.stwTheorieen
dc.titleA Donsker theorem for Lévy measures-
dc.typeWorking Paperen
dc.identifier.ppn682401943en
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen

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