Table 1
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Notation |
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| Random Variables and Parameters |
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| T = age at death |
T* = age at first cancer or death before cancer |
| J = type of death |
J* = type of event |
| (J = d) = death from cancer |
(J* = c) = first cancer |
| (J = o) = death from other causes |
(J* = o) = death before first cancer |
| λc(t) = rate at t for first cancer given alive |
 = rate at t for first cancer given alive and cancer-free |
| λo(t) = rate at t for death before cancer given alive |
 = rate at t for death before cancer given alive and cancer-free |
| λd(t) = rate at t for death from cancer given alive |
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| λa(t) = rate at t for death given alive |
 = rate at t for first cancer or death before first cancer given alive and cancer-free |
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| Observations |
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| Within the age interval, [ai, ai+1), and within the calendar interval of interest we observe... |
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| ci = number of first cancer incident cases |
 = estimate of person-years alive associated with j = c, d, o (DevCan uses the sum of mid-year populations during the calendar interval of interest) |
| di = number of cancer deaths |
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| oi = number of other deaths |
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Fay Population Health Metrics 2004 2:6 doi:10.1186/1478-7954-2-6 |
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