Authors: | Eckle, Konstantin Bissantz, Nicolai Dette, Holger Proksch, Katharina Einecke, Sabrina |
Title: | Multiscale inference for a multivariate density with applications to X-ray astronomy |
Language (ISO): | en |
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. |
Subject Headings: | multiple tests X-ray astronomy multivariate density modes |
URI: | http://hdl.handle.net/2003/34887 http://dx.doi.org/10.17877/DE290R-16935 |
Issue Date: | 2016 |
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