Editing Ewens's sampling formula (section)

==Mathematical properties==
When ''θ''&nbsp;=&nbsp;0, the probability is 1 that all ''n'' genes are the same. When ''θ''&nbsp;=&nbsp;1, then the distribution is precisely that of the integer partition induced by a uniformly distributed [[random permutation]]. As ''θ''&nbsp;→&nbsp;∞, the probability that no two of the ''n'' genes are the same approaches&nbsp;1.

This family of probability distributions enjoys the property that if after the sample of ''n'' is taken, ''m'' of the ''n'' gametes are chosen without replacement, then the resulting probability distribution on the set of all partitions of the smaller integer ''m'' is just what the formula above would give if ''m'' were put in place of&nbsp;''n''.

The Ewens distribution arises naturally from the [[Chinese restaurant process]].