in which S: (t) is the non cure relative survival.
The population of cancer patients may be considered as being composed of two different groups that have different risk of dying from the disease. The first one represents the "non recovered" patients: they should have an excess of mortality with respect to the general population. The second one represents the "recovery" patients: they should have an excess of risk parallel to the one of general population.
The probability of being cured given the individual has survived for a time d > 0 is defined as follows
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