The Kolmogorov-Smirnov test for the CMB
Abstract
We investigate the statistics of the cosmic microwave background using the Kolmogorov-Smirnov test. We show that, when we correctly de-correlate the data, the partition function of the Kolmogorov stochasticity parameter is compatible with the Kolmogorov distribution and, contrary to previous claims, the CMB data are compatible with Gaussian fluctuations with the correlation function given by standard Lambda-CDM. We then use the Kolmogorov-Smirnov test to derive upper bounds on residual point source power in the CMB, and indicate the promise of this statistics for further datasets, especially Planck, to search for deviations from Gaussianity and for detecting point sources and Galactic foregrounds.
Keywords
Cite
@article{arxiv.1108.5354,
title = {The Kolmogorov-Smirnov test for the CMB},
author = {Mona Frommert and Ruth Durrer and Jérôme Michaud},
journal= {arXiv preprint arXiv:1108.5354},
year = {2012}
}
Comments
Improved significance of the results (which remain unchanged) by using patches instead of ring segments in the analysis. Added sky maps of the Kolmogorov-parameter for original and de-correlated CMB map