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Our statistical studies comprise the mean relative velocity and velocitycorrelation for pairs of galaxies as a function of separation, and a bulk flowanalysis determined on spheres of $10 h^{-1}$ $Mpc$ radius. In order to testthe statistical analysis we use COBE normalized CDM numerical simulations withdifferent density parameters and cosmological constant and take into accountthe Tully-Fisher (TF) scatter and a possible TF zero-point offset, as well asvariations in the results of the simulations arising from different observerpositions. We compare the results of the mock catalogs with samples of spiralgalaxies taken from the Mark III catalog.Comment: 18 pages, 6 figures, to appear in Ap

Effects of Distance Uncertainties on Determinations of the Galaxy Peculiar Velocity Field