  In a companion publication, we have explored how to examine the summation of
large logarithms in a parton shower. Here, we apply this general program to the
thrust distribution in electron-positron annihilation, using several shower
algorithms. The method is to work with an appropriate integral transform of the
distribution for the observable of interest. Then, we reformulate the parton
shower calculation so as to obtain the transformed distribution as an
exponential for which we can compute the terms in the perturbative expansion of
the exponent.
