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The Kullback-Leibler divergence as an estimator of the statistical properties of CMB maps
Ben-David, A; Liu H(刘浩); Liu, H; Jackson, AD
2015
发表期刊JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
卷号6页码:51
文章类型Article
摘要The identification of unsubtracted foreground residuals in the cosmic microwave background maps on large scales is of crucial importance for the analysis of polarization signals. These residuals add a non-Gaussian contribution to the data. We propose the Kullback-Leibler (KL) divergence as an effective, non-parametric test on the one-point probability distribution function of the data. With motivation in information theory, the KL divergence takes into account the entire range of the distribution and is highly non-local. We demonstrate its use by analyzing the large scales of the Planck 2013 SMICA temperature fluctuation map and find it consistent with the expected distribution at a level of 6%. Comparing the results to those obtained using the more popular Kolmogorov-Smirnov test, we find the two methods to be in general agreement.
关键词CMBR experiments non-gaussianity
学科领域Astronomy & Astrophysics; Physics
DOI10.1088/1475-7516/2015/06/051
收录类别SCI
WOS类目Astronomy & Astrophysics ; Physics, Particles & Fields
WOS记录号WOS:000359215400052
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被引频次:2[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/228671
专题粒子天体物理中心
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Ben-David, A,Liu H,Liu, H,et al. The Kullback-Leibler divergence as an estimator of the statistical properties of CMB maps[J]. JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS,2015,6:51.
APA Ben-David, A,刘浩,Liu, H,&Jackson, AD.(2015).The Kullback-Leibler divergence as an estimator of the statistical properties of CMB maps.JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS,6,51.
MLA Ben-David, A,et al."The Kullback-Leibler divergence as an estimator of the statistical properties of CMB maps".JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS 6(2015):51.
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