  We propose an elementary but effective approach to studying a general class
of Poissonized tenable and balanced urns on two colors. We characterize the
asymptotic behavior of the process via a partial differential equation that
governs the process, coupled with the method of moments applied in a
bootstrapped manner. We show that the limiting distribution of the process
underlying the Bagchi-Pal urn is gamma. We also look into the tenable and
balanced processes associated with randomized replacement matrix. Similar
results carry over to the process, with minor modifications in the methods of
proof, done mutatis mutandis.
