  In the very near future, weak lensing surveys will map the projected density
of the universe in an unbiased way over large regions of the sky. In order to
interpret the results of studies it is helpful to develop an understanding of
the errors associated with quantities extracted from the observations. In a
generalization of one of our earlier works, we present estimators of the
cumulants and cumulant correlators of the weak lensing convergence field, and
compute the variance associated with these estimators. By restricting ourselves
to so-called compensated filters we are able to derive quite simple expressions
for the errors on these estimates. We also separate contributions from cosmic
variance, shot noise and intrinsic ellipticity of the source galaxies.
