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**A quantitative comparison of stochastic mortality models using data from England and Wales and the United States.**
*(English)*
Zbl 1484.91376

The paper analyses several stochastic models depicting improvements in mortality rates in England and Wales and in the United States. In particular, mortality improvements for males aged 60–89 are considered by means of eight stochastic mortality models that decompose mortality improvements into one or more age-, period-, and cohort-related effects. The Bayes information criterion allows to obtain that, for higher ages, an extension of the Cairns-Blake-Dowd (CBD) model that incorporates a cohort effect fits the England and Wales males’ data best; moreover, the Renshaw and Haberman (RH) extension to the Lee and Carter model, that incorporates a cohort effect, provides the best fit of the U.S. males data. The study also explores some issues regarding the robustness of parameter estimates in the RH model, discussing its suitability for prediction; in addition, an extension to the CBD model that allows both a cohort effect and a quadratic age effect is investigated in terms of parameter stability.

Reviewer: Emilia Di Lorenzo (Napoli)

### Keywords:

stochastic mortality models; cohort effect; Cairns-Blake-Dowd model; Renshaw-Haberman model; Lee-Carter model
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\textit{A. J. G. Cairns} et al., N. Am. Actuar. J. 13, No. 1, 1--35 (2009; Zbl 1484.91376)

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