  Our statistical studies comprise the mean relative velocity and velocity
correlation for pairs of galaxies as a function of separation, and a bulk flow
analysis determined on spheres of $10 h^{-1}$ $Mpc$ radius. In order to test
the statistical analysis we use COBE normalized CDM numerical simulations with
different density parameters and cosmological constant and take into account
the Tully-Fisher (TF) scatter and a possible TF zero-point offset, as well as
variations in the results of the simulations arising from different observer
positions. We compare the results of the mock catalogs with samples of spiral
galaxies taken from the Mark III catalog.
