  We present an analysis of the two-point peculiar velocity correlation
function using data from the CosmicFlows catalogues. The Millennium and
MultiDark Planck 2 N-body simulations are used to estimate cosmic variance and
uncertainties due to measurement errors. We compare the velocity correlation
function to expectations from linear theory to constrain cosmological
parameters. Using the maximum likelihood method, we find values of $\Omega_m=
0.315^{+0.205}_{-0.135}$ and $\sigma_8=0.92^{+0.440}_{-0.295}$, consistent with
the Planck and Wilkinson Microwave Anisotropy Probe CMB derived estimates.
However, we find that the cosmic variance of the correlation function is large
and non-Gaussian distributed, making the peculiar velocity correlation function
less than ideal as a probe of large-scale structure.
