Morris Marden

The Distribution of the Number of Empty Cells in a Generalized Random Allocation Scheme.

n balls are randomly distributed into N cells, so that no cell may contain more than one ball. This process is repeated m times. In addition, balls may disappear; such disappearances are independent and identically Bernoulli distributed. Conditions are given under which the number of empty cells has an asymptotically ( N →∞) standard normal distribution.

Applied Differential Equations.

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