First choose m birthdays in a ``year'' of n days. Then, list the spacings
between the m birthdays. Let j be the number of values that
occur more than once in that list, then j is asymptotically
Poisson distributed with mean
. Experience shows n
must be quite large, say
, for comparing the results
to the Poisson distribution with that mean. This test uses
and
, so that the underlying distribution for j
is taken to be Poisson with
. A sample
of 200 j''s is taken, and a
test
provides a p value. The first test uses bits 1-24 (counting
from the left) from integers in the specified file. Then the
file is closed and reopened, then bits 2-25 of the same integers
are used to provide birthdays, and so on to bits 9-32.
Each set of bits provides a p-value, and the nine p-values
provide a sample for a KS Test. In our analysis we examine only the
test values.