Occupancy with two types of balls
An extension of the classical occupancy problem is considered with two types of balls, say red and white. The balls are thrown at random, one by one, according to some rule of choice fixed in advance. First, the joint distribution of the number of urns with and without white and red balls is studied after a given number of throws. Then an exponential limit distribution is proved for the product of the numbers of red and white balls thrown till an urn with balls of both colors is first obtained.
scientific article; zbMATH DE number 4102169