  It has been observed that the locally measured Hubble parameter converges
quickest to the background value and the dipole structure of the velocity field
is smallest in the reference frame of the Local Group of galaxies. We study the
statistical properties of Lorentz boosts with respect to the Cosmic Microwave
Background frame which make the Hubble flow look most uniform around a
particular observer. We use a very large N-Body simulation to extract the
dependence of the boost velocities on the local environment such as
underdensities, overdensities, and bulk flows. We find that the observation is
not unexpected if we are located in an underdensity, which is indeed the case
for our position in the universe. The amplitude of the measured boost velocity
for our location is consistent with the expectation in the standard cosmology.
