  Analyses of peculiar velocity surveys face several challenges, including low
signal--to--noise in individual velocity measurements and the presence of
small--scale, nonlinear flows. I will present three new analyses that attempt
to address these inherent problems. The first is geared towards the better
understanding of the estimated errors in the surveys, specifically sampling
errors, and the resolution of the seeming disagreements between the surveys.
Another develops a new statistic that does not suffer from the usual problems
and gives robust results that are galaxy--morphology and distance--estimator
independent. The third introduces a formalism that allows for the accounting of
most of the non--linear signal whereby the signal to noise is increased and
small--scale aliasing is removed.

Astrophysics