Lifesaving, delayed deaths and cure in mortality modeling

We generalize the lifesaving model to the case when the probability of lifesaving depends on the number of lifesavings in the past. We also suggest a new approach to analyzing the shape of mortality rates based on considering delays in deaths (and possible cure afterwards) which results in the decline of mortality rates. The derived lifetime distribution and the corresponding mortality rate can be used for a more flexible statistical analysis of mortality data.