We present an urn model that is a variation of the classical occupancy
model, and in which the balls are of two types (good and bad). We ana
lyze the number of urns that contain more (or fewer) good balls than b
ad balls. We find Gaussian limiting distributions in the static case a
nd convergence of the finite-dimensional distributions towards those o
f a Gaussian, non-Markov process in the dynamic case. (C) 1997 John Wi
ley & Sons, Inc.