Table 1. Shape parameters β1 and β2 for the data-generating Beta distributions, expected encounter probabilities E(p), and expected proportions population members encountered for the first time on list k = 1, …, 5, E[p1 (k)].
β 1 | β 2 | E(p) | k | E[p1 (k)] | Cumulative E[p1 (k)] |
---|---|---|---|---|---|
1.3245 | 51.6548 | 0.025 | 1 | 0.025 | 0.025 |
2 | 0.024 | 0.049 | |||
3 | 0.023 | 0.072 | |||
4 | 0.022 | 0.094 | |||
5 | 0.021 | 0.115 | |||
1.2649 | 24.0327 | 0.050 | 1 | 0.050 | 0.050 |
2 | 0.046 | 0.096 | |||
3 | 0.042 | 0.138 | |||
4 | 0.039 | 0.176 | |||
5 | 0.036 | 0.212 | |||
1.1457 | 10.3111 | 0.100 | 1 | 0.100 | 0.100 |
2 | 0.083 | 0.183 | |||
3 | 0.070 | 0.252 | |||
4 | 0.059 | 0.312 | |||
5 | 0.051 | 0.363 | |||
1.0265 | 5.8167 | 0.150 | 1 | 0.150 | 0.150 |
2 | 0.111 | 0.261 | |||
3 | 0.086 | 0.347 | |||
4 | 0.068 | 0.415 | |||
5 | 0.055 | 0.470 | |||
0.9073 | 3.6291 | 0.200 | 1 | 0.200 | 0.200 |
2 | 0.131 | 0.331 | |||
3 | 0.093 | 0.424 | |||
4 | 0.069 | 0.493 | |||
5 | 0.054 | 0.547 |