Table 3. Binomial distributions on Day i.
| Date | Distribution | Period of Yi being detected |
| Day 1 | Y1~Binomial(N1,p) | Y1 is expected to be detected on Day d+1 |
| Day 2 | Y2~Binomial(N2,p) | Y2 is expected to be detected on Day d+1 and Day d+2 |
|
|
|
| Day d | Yd~Binomial(Nd,p) | Yd is expected to be detected between Day d+1 and Day 2d |
| Day d+1 | Yd+1~Binomial(Nd+1−N1,p) | Yd+1 is expected to be detected between Day d+2 and Day 2d+1 |
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|
|
| Day 2d−1 | Y2d−1~Binomial(N2d−1−Nd-1,p) | Y2d−1 is expected to be detected between Day 2d and Day 3d−1 |
| Day 2d | Y2d~Binomial(N2d-Nd,p) | Y2d is expected to be detected between Day 2d+1 and Day 3d |





