Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Eckle, Konstantin | - |
dc.contributor.author | Bissantz, Nicolai | - |
dc.contributor.author | Dette, Holger | - |
dc.contributor.author | Proksch, Katharina | - |
dc.contributor.author | Einecke, Sabrina | - |
dc.date.accessioned | 2016-04-12T12:49:07Z | - |
dc.date.available | 2016-04-12T12:49:07Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | http://hdl.handle.net/2003/34887 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-16935 | - |
dc.description.abstract | In 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.language.iso | en | de |
dc.relation.ispartofseries | Discussion Paper / SFB823;14, 2016 | en |
dc.subject | multiple tests | en |
dc.subject | X-ray astronomy | en |
dc.subject | multivariate density | en |
dc.subject | modes | en |
dc.subject.ddc | 310 | - |
dc.subject.ddc | 330 | - |
dc.subject.ddc | 620 | - |
dc.title | Multiscale inference for a multivariate density with applications to X-ray astronomy | en |
dc.type | Text | de |
dc.type.publicationtype | workingPaper | de |
dcterms.accessRights | open access | - |
Appears in Collections: | Sonderforschungsbereich (SFB) 823 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
DP_1416II_SFB823_Eckle_Bissantz_Dette_Proksch_Einecke.pdf | DNB | 1.14 MB | Adobe PDF | View/Open |
This item is protected by original copyright |
This item is protected by original copyright rightsstatements.org