Concentration in survival times and longevity: The log-scale-location family of failure time models

Evidence suggests that the significantly higher life expectancy levels witnessed over the past centuries are associated with a lower concentration of survival times, both cross-country and over time. The purpose of this work is to study the relationships that exist among models for the evolution of survival distributions, longevity measures, and concentration. We first study relationships between concentration and cohort longevity through empirical comparisons. We then propose a family of survival models that can be used to capture such trends in longevity and concentration across survival distributions.