Table 3
Counts-in-cells best fit fV(N) – all parameters free.
Sample | NBD | GQED | |||||||||
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Pop | Cells | r |
![]() |
g | χ 2 | d.o.f. |
![]() |
d | χ 2 | d.o.f. | |
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1 | 195 079 | 8 | 13.08 ± 0.09 | 1.131 ± 0.014 | 124.56 | 124 | 13.12 ± 0.08 | 0.761 ± 0.0008 | 417.87 | 124 | |
167 367 | 12 | 44.1 ± 0.2 | 0.59 ± 0.006 | 97.75 | 215 | 45.67 ± 0.18 | 0.8177 ± 0.0008 | 326.54 | 215 | ||
144 938 | 16 | 102.5 ± 0.8 | 0.373 ± 0.005 | 17.04 | 120 |
![]() |
![]() |
115.66 | 120 | ||
123 972 | 20 | 200.1 ± 1.6 |
![]() |
11.01 | 100 | 206.4 ± 1.7 | 0.87 ± 0.0017 | 60.2 | 100 | ||
215 408 | 24 | 338 ± 3 | 0.191 ± 0.005 | 6.71 | 115 | 347 ± 3 | 0.8812 ± 0.0018 | 24.65 | 115 | ||
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2 | 218 339 | 8 | 2.81 ± 0.02 | 1.53 ± 0.03 | 35.79 | 34 | 2.75 ± 0.04 | 0.575 ± 0.003 | 51.69 | 34 | |
196 647 | 12 | 9.34 ± 0.07 | 0.848 ± 0.017 | 34.04 | 60 | 9.36 ± 0.09 | 0.672 ± 0.003 | 59.87 | 60 | ||
177 485 | 16 | 22.54 ± 0.18 | 0.488 ± 0.01 | 29.17 | 96 | 23.02 ± 0.18 | 0.715 ± 0.003 | 78.22 | 96 | ||
161 357 | 20 | 43.7 ± 0.3 | 0.336 ± 0.007 | 18.85 | 132 | 44.6 ± 0.4 |
![]() |
22.9 | 132 | ||
147 554 | 24 | 75 ± 0.6 | 0.241 ± 0.008 | 9.62 | 87 | 76.6 ± 0.8 | 0.777 ± 0.004 | 8.81 | 87 | ||
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Log Normal | Log Normal + bias | ||||||||||
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N | C | χ2 | d.o.f. |
![]() |
C b | b | χ2 | d.o.f. | |||
|
|||||||||||
1 | 195 079 | 8 | 13.17 ± 0.09 | 1.66 ± 0.02 | 1097.83 | 124 | 12.53 ± 0.1 | 0.71 ± 0.03 | 1.42 ± 0.02 | 238.17 | 123 |
167 367 | 12 | 46.6 ± 0.2 | 0.743 ± 0.011 | 542.29 | 215 | 44.5 ± 0.3 | 0.4005 ± 0.0005 | 1.297 ± 0.009 | 96.42 | 214 | |
144 938 | 16 | 107.4 ± 0.9 | 0.447 ± 0.011 | 157.18 | 120 | 103.9 ± 0.7 | 0.241 ± 0.017 | 1.29 ± 0.03 | 21.2 | 119 | |
123 972 | 20 | 213 ± 2 | 0.308 ± 0.011 | 71.88 | 100 | 200 ± 2 | 0.113 ± 0.018 | 1.52 ± 0.1 | 7.08 | 99 | |
215 408 | 24 | 351 ± 3 | 0.215 ± 0.008 | 30.03 | 115 | 338 ± 4 | 0.09 ± 0.015 | 1.48 ± 0.15 | 6.6 | 114 | |
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2 | 218 339 | 8 | 2.16 ± 0.05 | 5.6 ± 0.3 | 394.31 | 34 | 2.69 ± 0.04 | 1.1 ± 0.07 | 1.31 ± 0.03 | 50.03 | 33 |
196 647 | 12 | 9.65 ± 0.2 | 1.26 ± 0.05 | 201.82 | 60 | 9.18 ± 0.13 | 0.54 ± 0.04 | 1.35 ± 0.05 | 51.8 | 59 | |
177 485 | 16 | 23.5 ± 0.2 | 0.547 ± 0.014 | 156.64 | 96 | 22.4 ± 0.3 | 0.252 ± 0.03 | 1.45 ± 0.07 | 29.54 | 95 | |
161 357 | 20 | 45.3 ± 0.4 | 0.381 ± 0.011 | 45.87 | 132 | 44.1 ± 0.4 | 0.21 ± 0.02 | 1.3 ± 0.07 | 10.54 | 131 | |
147 554 | 24 | 77.6 ± 0.9 | 0.269 ± 0.012 | 13.34 | 87 | 75.9 ± 1 | 0.16 ± 0.04 | 1.25 ± 0.1 | 6.03 | 86 |
Notes. Best fit parameters from the counts-in-cells distribution for our four probability functions. Different bin widths have been used, with wider bins for larger cells radii, resulting on different degrees of freedom for the χ2 fitting. See Sect. 5 for detailed information. Column “Cells” corresponds to the used number of cells in each case.
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