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A dynamic parameterization modeling for age-period-cohort mortality

Hatzopoulos, P. and Haberman, S. (2011). A dynamic parameterization modeling for age-period-cohort mortality. Insurance: Mathematics and Economics, 49(2), pp. 155-174. doi: 10.1016/j.insmatheco.2011.02.007

Abstract

An extended version of Hatzopoulos and Haberman (2009) 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).

Publication Type: Article
Additional Information: NOTICE: this is the author’s version of a work that was accepted for publication in Insurance: Mathematics and Economics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Insurance: Mathematics and Economics Volume 49, Issue 2, September 2011, Pages 155–174, http://dx.doi.org/10.1016/j.insmatheco.2011.02.007
Publisher Keywords: Cohort, Mortality forecasting, Generalized linear models, Sparse principal component analysis, Factor analysis, Dynamic linear regression, Bootstrap confidence intervals
Subjects: H Social Sciences > HG Finance
Departments: Cass Business School > Finance
URI: http://openaccess.city.ac.uk/id/eprint/4070
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