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Lifesaving explains mortality decline with time. (English) Zbl 1111.91034
Summary: Mortality rates of human populations in developed countries are declining with time. We show that this effect can be explained via a ‘lifesaving’ methodology. Our approach is based on considering a non-homogeneous Poisson process of potentially harmful events. Each of these events can be ‘cured’ with a given probability or can result in a termination of the Poisson process (death) with a complementary probability. A lifesaving ratio, defining the corresponding relative increase in life expectancy for homogeneous and heterogeneous populations is analyzed. Some generalizations are discussed. Several simple examples are considered.

MSC:
91D20 Mathematical geography and demography
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