TABLE I.

Critical overlap as defined in Sec. VI (first row) and the upper bound (9) for the maximum overlap permitted (second row) between pairs of empirical distributions. In all cases $N=10000$. For the left column distributions, $\langle k\rangle =20$ while, for the upper ones, $\langle k\rangle =26$.

	Regular	Poisson	SF	Exponential
	0.7693	0.7508	0.6301	0.6654
Regular	0.7693	0.7508	0.6301	0.6654
	0.7552	0.7259	0.5969	0.6392
Poisson	0.7552	0.7709	0.7221	0.7739
	0.5451	0.5365	0.4903	0.5117
SF	0.5451	0.6000	0.7688	0.7023
	0.6330	0.6174	0.5415	0.5683
Exponential	0.6330	0.7077	0.7715	0.7706