PMID: 9637078Jun 24, 1998Paper

Analysis of exogenous components of mortality risks

Risk Analysis : an Official Publication of the Society for Risk Analysis
V L Blinkin

Abstract

A new technique for deriving exogenous components of mortality risks from national vital statistics has been developed. Each observed death rate Dij (where i corresponds to calendar time (year or interval of years) and j denotes the number of corresponding age group) was represented as Dij = Aj + BiCj, and unknown quantities Aj, Bi, and Cj were estimated by a special procedure using the least-squares principle. The coefficients of variation do not exceed 10%. It is shown that the term Aj can be interpreted as the endogenous and the second term BiCj as the exogenous components of the death rate. The aggregate of endogenous components Aj can be described by a regression function, corresponding to the Gompertz-Makeham law, A(tau) = gamma + beta x e alpha tau, where gamma, beta, and alpha are constants, tau is age, A(tau) [symbol: see text] tau = tau j identical to A(tau j) identical to Aj and tau j is the value of age tau in jth age group. The coefficients of variation for such a representation does not exceed 4%. An analysis of exogenous risk levels in the Moscow and Russian populations during 1980-1995 shows that since 1992 all components of exogenous risk in the Moscow population had been increasing up to 1994. The greatest con...Continue Reading

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