I would like to simulate the distribution for a fixed number of balls m
in a fixed number of bins n
in R. Up till now I have been using the Poisson approximation with rpois()
. This is a decent approximation for a large number of balls in n
bins.
However, rpois()
only allows you to indicate a rate lambda
, which is m/n
. As a consequence, the number of positive bins is often smaller than the number of balls.
Would anybody know of a function or script that allows me to randomly distribute balls into bins?
Ultimately I seek to calculate the confidence intervals of -log(empty bins/total bins)
by bootstrapping.
This problem is 'breaking my balls' so to speak.