Bayesian analysis of spatially distorted cosmic signals from Poissonian data
Bayesian analysis of spatially distorted cosmic signals from Poissonian data
复制标题
泊松数据空间扭曲宇宙信号的贝叶斯分析
DOI：
10.1111/j.1365-2966.2010.17122.x
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发表时间：
2010
影响因子：
4.8
通讯作者：
T. Ensslin
中科院分区：
文献类型：
--
作者：
Cornelius Weig;T. Ensslin
从星系计数重建物质密度场是当前文献中经常讨论的问题。两个主要的误差来源是来自星系计数的散粒噪声和由于特殊速度和红移测量不确定性而对正确星系位置的知识不足。在这里，我们解决重建问题的泊松采样对数正态密度场的速度失真的贝叶斯方式使用最大后验方法。我们测试我们的算法在一维测试用例，并发现显着的改善相比，简单的数据反演。特别是，我们解决了以下问题：光度红移，编码掩模系统中的扩展源的映射，从红移空间星系分布的真实的空间重建和不同点扩散函数的数据的组合分析。
Reconstructing the matter density field from galaxy counts is a problem frequently addressed in current literature. Two main sources of error are shot noise from galaxy counts and insufficient knowledge of the correct galaxy position because of peculiar velocities and redshift measurement uncertainty. Here, we address the reconstruction problem of a Poissonian sampled lognormal density field with velocity distortions in a Bayesian way using a maximum a posteriori method. We test our algorithm on a one-dimensional test case and find significant improvement compared to simple data inversion. In particular, we address the following problems: photometric redshifts, mapping of extended sources in coded mask systems, real space reconstruction from redshift space galaxy distribution and combined analysis of data with different point spread functions.