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The goodness-of-fit (GoF) of the Cosmicflows-2 (CF2) database of peculiarvelocities with the LCDM standard model of cosmology is presented. Standardapplication of the Chi^2 statistics of the full database, of its 4,838 datapoints, is hampered by the small scale nonlinear dynamics which is notaccounted for by the (linear regime) velocity power spectrum. The bulk velocityconstitutes a highly compressed representation of the data which filters outthe small scales non-linear modes. Hence the statistics of the bulk flowprovides an efficient tool for assessing the GoF of the data given a model. Theparticular approach introduced here is to use the (spherical top-hat window)bulk velocity extracted from the Wiener filter reconstruction of the 3Dvelocity field as a linear low pass filtered highly compressed representationof the CF2 data. An ensemble 2250 random linear realizations of the WMAP/LCDMmodel has been used to calculate the bulk velocity auto-covariance matrix. Wefind that the CF2 data is consistent with the WMAP/LCDM model to better thanthe 2 sigma confidence limits. This provides a further validation that the CF2database is consistent with the standard model of cosmology.

Goodness-of-fit analysis of the Cosmicflows-2 database of velocities