title: Longevity and concentration in survival times: the log-scale-location family of failure time models.
abstract: Evidence suggests that the increasing life expectancy levels at birth witnessed over the past centuries are associated with a decreasing concentration of the survival times. The purpose of this work is to study the relationships that exist between longevity and concentration measures for some regression models for the evolution of survival. In particular, we study a family of survival models that can be used to capture the observed trends in longevity and concentration over time. The parametric family of log-scale-location models is shown to allow for modeling different trends of expected value and concentration of survival times. An extension towards mixture models is also described in order to take into account scenarios where a fraction of the population experiences short term survival. Some results are also presented for such framework. The use of both the log-scale-location family and the mixture model is illustrated through an application to period life tables from the Human Mortality Database.
authors.affiliation: Department of Economics, University of Insubria, Varese, Italy.
authors.forename: Chiara
authors.initials: C
authors.lastname: Gigliarano
authors.affiliation: Max Planck International Research Network on Aging and European Doctoral School of Demography, Rome, Italy.
authors.forename: Ugofilippo
authors.initials: U
authors.lastname: Basellini
authors.affiliation: Bocconi University and Dondena Centre for Research on Social Dynamics and Public Policy, Milan, Italy. marco.bonetti@unibocconi.it.
authors.forename: Marco
authors.initials: M
authors.lastname: Bonetti
mesh_terms: D016208:Databases, Factual; D006801:Humans; D008017:Life Expectancy; D015993:Life Tables; D008136:Longevity; D009026:Mortality
keywords: Gini concentration index; Life table; Longevity; Survival analysis
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