Table 1 Coverage of theoretical probabilities f(k) of observing a node of degree k, k = 2, …, 5, by 95% confidence intervals for varying network orders.
From: Bootstrap quantification of estimation uncertainties in network degree distributions
Degree distribution | k | Method | Network order n | |||
|---|---|---|---|---|---|---|
2,000 | 3,000 | 5,000 | 10,000 | |||
Zero-truncated Poisson(2) | 2 | FPB | 92.4 (0.15) | 93.3 (0.15) | 93.7 (0.16) | 94.7 (0.15) |
NCI{50} | 93.0 (0.25) | 92.6 (0.25) | 92.0 (0.26) | 93.2 (0.26) | ||
QCI{50*} | 93.5 (0.25) | 94.5 (0.25) | 92.9 (0.25) | 94.4 (0.25) | ||
3 | FPB | 94.9 (0.13) | 96.2 (0.13) | 92.9 (0.13) | 95.8 (0.13) | |
NCI{50} | 93.4 (0.22) | 95.3 (0.22) | 95.1 (0.22) | 94.6 (0.22) | ||
QCI{50*} | 92.2 (0.22) | 93.2 (0.22) | 93.5 (0.22) | 93.0 (0.22) | ||
4 | FPB | 96.4 (0.10) | 97.3 (0.10) | 97.9 (0.10) | 97.7 (0.10) | |
NCI{50} | 89.5 (0.17) | 88.7 (0.17) | 89.8 (0.17) | 89.8 (0.17) | ||
QCI{50*} | 90.0 (0.16) | 89.6 (0.16) | 90.0 (0.16) | 89.1 (0.16) | ||
5 | FPB | 98.0 (0.06) | 97.8 (0.06) | 98.9 (0.06) | 98.4 (0.06) | |
NCI{50} | 87.9 (0.10) | 86.7 (0.10) | 86.1 (0.10) | 85.9 (0.10) | ||
QCI{50*} | 88.0 (0.09) | 86.7 (0.09) | 86.2 (0.09) | 85.9 (0.09) | ||
polylogarithmic(0.1,2) | 2 | FPB | 92.2 (0.13) | 92.5 (0.13) | 92.3 (0.14) | 94.0 (0.13) |
NCI{50} | 91.5 (0.23) | 90.8 (0.23) | 91.6 (0.23) | 91.8 (0.24) | ||
QCI{50*} | 93.8 (0.23) | 93.6 (0.23) | 94.5 (0.23) | 93.5 (0.23) | ||
3 | FPB | 92.5 (0.11) | 95.3 (0.11) | 96.6 (0.11) | 96.0 (0.11) | |
NCI{50} | 93.6 (0.19) | 91.7 (0.19) | 91.5 (0.19) | 91.7 (0.19) | ||
QCI{50*} | 93.6 (0.19) | 91.7 (0.18) | 91.7 (0.18) | 92.9 (0.18) | ||
4 | FPB | 93.9 (0.08) | 96.5 (0.08) | 96.7 (0.09) | 98.2 (0.09) | |
NCI{50} | 90.0 (0.14) | 91.4 (0.15) | 90.9 (0.15) | 93.4 (0.15) | ||
QCI{50*} | 89.9 (0.14) | 91.4 (0.14) | 90.9 (0.14) | 93.3 (0.14) | ||
5 | FPB | 97.3 (0.07) | 96.8 (0.06) | 98.0 (0.06) | 98.7 (0.07) | |
NCI{50} | 93.2 (0.11) | 92.1 (0.11) | 92.1 (0.11) | 91.8 (0.11) | ||
QCI{50*} | 92.5 (0.10) | 91.6 (0.10) | 91.9 (0.10) | 91.5 (0.10) | ||
polylogarithmic(2,3) | 2 | FPB | 96.0 (0.13) | 95.1 (0.13) | 95.8 (0.13) | 96.7 (0.14) |
NCI{50} | 89.9 (0.19) | 92.7 (0.19) | 92.0 (0.19) | 90.7 (0.19) | ||
QCI{50*} | 90.6 (0.18) | 93.3 (0.19) | 93.0 (0.18) | 92.7 (0.18) | ||
3 | FPB | 96.0 (0.08) | 96.0 (0.08) | 98.6 (0.08) | 97.3 (0.08) | |
NCI{50} | 90.1 (0.10) | 89.2 (0.10) | 88.8 (0.10) | 90.5 (0.11) | ||
QCI{50*} | 89.7 (0.10) | 88.7 (0.10) | 88.7 (0.10) | 89.7 (0.10) | ||
4 | FPB | 96.8 (0.05) | 95.8 (0.05) | 95.6 (0.05) | 96.1 (0.05) | |
NCI{50} | 59.3 (0.06) | 58.7 (0.06) | 59.4 (0.06) | 60.6 (0.06) | ||
QCI{50*} | 58.2 (0.05) | 57.1 (0.05) | 58.2 (0.05) | 59.5 (0.05) | ||
5 | FPB | 86.7 (0.03) | 87.0 (0.03) | 86.8 (0.03) | 86.2 (0.03) | |
NCI{50} | 33.4 (0.03) | 34.8 (0.03) | 32.5 (0.03) | 34.2 (0.03) | ||
QCI{50*} | 33.2 (0.02) | 34.8 (0.02) | 32.2 (0.02) | 34.0 (0.02) | ||
