L=100: P(x<=1)=0.192 P(x<=2)=0.192 P(x<=4)=0.443 P(x<=8)=0.896 mean x=4.18
L=200: P(x<=1)=0.156 P(x<=2)=0.156 P(x<=4)=0.581 P(x<=8)=0.841 mean x=4.68
L=400: P(x<=1)=0.099 P(x<=2)=0.308 P(x<=4)=0.509 P(x<=8)=0.788 mean x=5.08
L=800: P(x<=1)=0.000 P(x<=2)=0.190 P(x<=4)=0.400 P(x<=8)=0.816 mean x=5.52
ratio actual/model at N = L + d (exact census)
L   d=0     d=1     d=2     d=3     d=4     d=6     d=8     d=12   
20 1.0000  1.0012  1.0031  1.0031  1.0010  1.0019  0.9939  0.9889 
21 1.0000  0.9996  0.9996  1.0006  0.9978  0.9951  0.9913  0.9907 
22 1.0000  1.0000  1.0001  1.0011  1.0011  1.0033  1.0047  1.0009 
23 1.0000  1.0000  1.0011  1.0011  1.0037  1.0037  1.0042  1.0072 
24 1.0000  0.9994  0.9994  0.9997  0.9995  0.9990  0.9988  0.9981 
25 1.0000  1.0000  0.9986  0.9992  0.9992  0.9990  0.9994  0.9980 
26 1.0000  1.0003  0.9997  0.9997  0.9998  0.9996  1.0000  0.9993 
27 1.0000  1.0002  1.0002  1.0001  1.0001  1.0004  1.0003  1.0003 
28 1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  0.9997  0.9996 
29 1.0000  1.0000  1.0000  0.9999  1.0001  0.9999  1.0001  1.0007 
30 1.0000  1.0000  1.0001  1.0000  1.0000  1.0001  1.0003  1.0004 
31 1.0000  1.0000  0.9999  0.9999  1.0000  1.0000  1.0000  0.9998 
32 1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000 
33 1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0001 
34 1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000  1.0000 
