Multiscale inference for a multivariate density with applications to X-ray astronomy

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dc.contributor.authorEckle, Konstantin
dc.contributor.authorBissantz, Nicolai
dc.contributor.authorDette, Holger
dc.contributor.authorProksch, Katharina
dc.contributor.authorEinecke, Sabrina
dc.date.accessioned2016-04-12T12:49:07Z
dc.date.available2016-04-12T12:49:07Z
dc.date.issued2016
dc.description.abstractIn this paper we propose methods for inference of the geometric features of a multivariate density. Our approach uses multiscale tests for the monotonicity of the density at arbitrary points in arbitrary directions. In particular, a significance test for a mode at a specific point is constructed. Moreover, we develop multiscale methods for identifying regions of monotonicity and a general procedure for detecting the modes of a multivari- ate density. It is is shown that the latter method localizes the modes with an effectively optimal rate. The theoretical results are illustrated by means of a simulation study and a data example. The new method is applied to and motivated by the determination and verification of the position of high-energy sources from X-ray observations by the Swift satellite which is important for a multiwavelength analysis of objects such as Active Galactic Nuclei.en
dc.identifier.urihttp://hdl.handle.net/2003/34887
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-16935
dc.language.isoende
dc.relation.ispartofseriesDiscussion Paper / SFB823;14, 2016en
dc.subjectmultiple testsen
dc.subjectX-ray astronomyen
dc.subjectmultivariate densityen
dc.subjectmodesen
dc.subject.ddc310
dc.subject.ddc330
dc.subject.ddc620
dc.titleMultiscale inference for a multivariate density with applications to X-ray astronomyen
dc.typeTextde
dc.type.publicationtypeworkingPaperde
dcterms.accessRightsopen access

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