Multiscale inference for a multivariate density with applications to X-ray astronomy
Multiscale inference for a multivariate density with applications to X-ray astronomy
复制标题
多变量密度的多尺度推断及其在 X 射线天文学中的应用
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
S. Einecke
中科院分区：
文献类型：
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作者：
Konstantin Eckle;N. Bissantz;H. Dette;K. Proksch;S. Einecke
在本文中，我们提出的方法推断的几何特征的多元密度。我们的方法使用多尺度测试在任意方向上的任意点的密度的单调性。特别是，在一个特定的点上的模式的显着性测试构造。此外，我们开发了多尺度方法识别区域的单调性和检测模式的多元密度的一般程序。结果表明，后者的方法本地化的模式与有效的最优速率。通过仿真研究和数据实例说明了理论结果。新方法的应用和动机是根据雨燕卫星的X射线观测确定和核实高能源的位置，这对活动星系核等物体的多波长分析很重要。
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 multivariate density. It 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.
反卷积中形状约束的多尺度方法：定性特征的置信度陈述
影响因子：
4.5
作者：
Schmidt-Hieber;Dümbgen
通讯作者：
Dümbgen