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Identifiability in age/period mortality models

Published online by Cambridge University Press:  02 June 2020

Andrew Hunt Open the ORCID record for Andrew Hunt [Opens in a new window]  and
David Blake
Andrew Hunt*
Affiliation:
Cass Business School, City University London, London, UK
David Blake
Affiliation:
Pensions Institute, Cass Business School, City University London, London, UK
*
*Corresponding author. Pacific Life Re, London. E-mail: andrew.hunt@pacificlifere.com
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Abstract

As the field of modelling mortality has grown in recent years, the number and importance of identifiability issues within mortality models has grown in parallel. This has led both to robustness problems and to difficulties in making projections of future mortality rates. In this paper, we present a comprehensive analysis of the identifiability issues in age/period mortality models in order to first understand them better and then to resolve them. To achieve this, we discuss how these identification issues arise, how to choose identification schemes which aid our demographic interpretation of the models and how to project the models so that our forecasts of the future do not depend upon the arbitrary choices used to identify the historical parameters estimated from historical data.

Keywords

Mortality modellingAge/period modelsIdentificationProjectionC15C51C53
Type
Paper
Information
Annals of Actuarial Science , Volume 14 , Issue 2 , September 2020 , pp. 461 - 499
Copyright
© Institute and Faculty of Actuaries 2020

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