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26 April 2024 |
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The Kullback-Leibler Divergence as an Estimator of the Statistical Properties of CMB Maps | | Assaf Ben-David
; Hao Liu
; Andrew D. Jackson
; | | Date: |
25 Jun 2015 | | Abstract: | 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. | | Source: | arXiv, 1506.7724 | | Services: | Forum | Review | PDF | Favorites | |
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