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Bayesian forecasting of mortality rates by using latent Gaussian models

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Alexopoulos, Angelos, Dellaportas, Petros and Forster, Jonathan J. (2019) Bayesian forecasting of mortality rates by using latent Gaussian models. Journal of the Royal Statistical Society: Series A (Statistics in Society), 182 (2). pp. 689-711. doi:10.1111/rssa.12422 ISSN 0964-1998.

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Official URL: http://dx.doi.org/10.1111/rssa.12422

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Abstract

We provide forecasts for mortality rates by using two different approaches. First we employ dynamic non‐linear logistic models based on the Heligman–Pollard formula. Second, we assume that the dynamics of the mortality rates can be modelled through a Gaussian Markov random field. We use efficient Bayesian methods to estimate the parameters and the latent states of the models proposed. Both methodologies are tested with past data and are used to forecast mortality rates both for large (UK and Wales) and small (New Zealand) populations up to 21 years ahead. We demonstrate that predictions for individual survivor functions and other posterior summaries of demographic and actuarial interest are readily obtained. Our results are compared with other competing forecasting methods.

Item Type: Journal Article
Subjects: C Auxiliary Sciences of History > CB History of civilization
H Social Sciences > H Social Sciences (General)
H Social Sciences > HB Economic Theory
H Social Sciences > HG Finance
Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Statistics
Library of Congress Subject Headings (LCSH): Actuarial science, Mortality -- Statistics , Gaussian Markov random fields, Forecasting, Vital statistics
Journal or Publication Title: Journal of the Royal Statistical Society: Series A (Statistics in Society)
Publisher: Wiley
ISSN: 0964-1998
Official Date: 15 January 2019
Dates:
DateEvent
15 January 2019Published
20 November 2018Available
1 October 2018Accepted
Volume: 182
Number: 2
Page Range: pp. 689-711
DOI: 10.1111/rssa.12422
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)
Date of first compliant deposit: 28 January 2020
Date of first compliant Open Access: 28 January 2020
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
ARISTEIA‐LIKEJUMPS‐436European Social Fundhttp://dx.doi.org/10.13039/501100004895
EP/N510129/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
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