A dynamic parameterization modeling for the age-period-cohort mortality. (English) Zbl 1218.91082

Summary: An extended version of the authors [Insur. Math. Econ. 44, No. 1, 103–123 (2009; Zbl 1156.91394)] dynamic parametric model is proposed for analyzing mortality structures, incorporating the cohort effect. A one-factor parameterized exponential polynomial in age effects within the generalized linear models (GLM) framework is used. Sparse principal component analysis (SPCA) is then applied to time-dependent GLM parameter estimates and provides (marginal) estimates for a two-factor principal component (PC) approach structure. Modeling the two-factor residuals in the same way, in age-cohort effects, provides estimates for the (conditional) three-factor age-period-cohort model. The age-time and cohort related components are extrapolated using dynamic linear regression (DLR) models. An application is presented for England & Wales males (1841–2006).


91B30 Risk theory, insurance (MSC2010)
91D20 Mathematical geography and demography
62P05 Applications of statistics to actuarial sciences and financial mathematics


Zbl 1156.91394


Full Text: DOI


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