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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.

91D20 Mathematical geography and demography
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