Interval division has been investigated from the point of view of stopping rules. We pay attention here to the quality of the partition. We look at the length of the maximal gap and a certain type of cumulative weights. For the distribution function of the length of the maximal gap we obtain a...

We consider a general two-color urn model characterized by a 2x2 matrix of integerswithout constraints on the values of these four integers other than non-negativity. Exact distributions of the number of balls of a specific color that appear after n draws are presented. Via Poissonization, we...