S-Incidence and T-Incidence

We distinguish susceptible incidence rate from total incidence rate. These are also called s-incidence and t-incidence. Total incidence rate is the number of new observations of a disease per person in the population, where both people with and without the disease are counted. Because hazard rates are the probablity per unit time of a transition given that the transition has not happened, we wouldn’t call t-incidence a hazard rate because it includes people for whom the transition to the disease state has already happened. Both, however, can be population rates.