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Bayesian Neural Networks for Actuarial Mortality Modelling

Thesis (MCom)--Stellenbosch University, 2026.

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Bibliographic Details
Main Author: Moehrke, Patrick Gary
Other Authors: Bierman, S.
Format: Thesis
Language:English
Published: Stellenbosch : Stellenbosch University 2026
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access_status_str Open Access
author Moehrke, Patrick Gary
author2 Bierman, S.
author_browse Bierman, S.
Moehrke, Patrick Gary
author_facet Bierman, S.
Moehrke, Patrick Gary
author_sort Moehrke, Patrick Gary
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MCom)--Stellenbosch University, 2026.
format Thesis
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institution Stellenbosch University (South Africa)
language English
last_indexed 2026-06-10T12:45:40.774Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2026
publishDateRange 2026
publishDateSort 2026
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
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source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/136197 Bayesian Neural Networks for Actuarial Mortality Modelling Moehrke, Patrick Gary Bierman, S. Stellenbosch University. Faculty of Economic and Management Sciences. Dept. of Statistical and Actuarial Science. Thesis (MCom)--Stellenbosch University, 2026. Moehrke, P. G. 2026. Bayesian Neural Networks for Actuarial Mortality Modelling. Unpublished masters thesis. Stellenbosch: Stellenbosch University [online]. Available: https://scholar.sun.ac.za/items/c1816a5a-366c-487b-a335-c67576128890 The use of Bayesian neural networks (BNNs) for mortality modelling is an understudied, yet potentially promising area of research. They inherently offer robust uncertainty quantification, and are known for their application to sparse or small datasets. This research investigates the efficacy of BNN architectures in the presence of extreme data sparsity and explores methodologies for incorporating domain-specific prior information through hybrid structures. By embedding classical mortality laws directly into the neural network framework, we develop a suite of hybrid models capable of leveraging both the flexibility of deep learning, and the interpretability of parametric actuarial laws. We demonstrate that these Bayesian hybrid models provide promising forecasting capabilities and produce reliable uncertainty intervals, even under conditions of severe data sparsity. More specifically, our results indicate that these hybrid models can accurately capture underlying mortality patterns and interpolate missing values, even when 95% of the training data is absent. The performance of this mortality prediction approach is evaluated using female population data from a diverse set of countries, namely Iceland, Italy, Japan, Russia, Sweden, and the United States. Furthermore, we extend the above framework also to multi-population modelling. This is done by proposing an architecture that utilises embedding layers on population indices. These embeddings function as population-specific loading factors for the global terms within the hybrid models, allowing joint modelling across heterogeneous cohorts. While these models perform well on sparse multi-population data, we discuss the computational and runtime constraints encountered when scaling BNNs to comprehensive multi-population datasets. Masters 2026-04-24T12:59:17Z 2026-04-24T12:59:17Z 2026-03 Thesis https://scholar.sun.ac.za/handle/10019.1/136197 en Stellenbosch University 125 pages application/pdf Stellenbosch : Stellenbosch University
spellingShingle Moehrke, Patrick Gary
Bayesian Neural Networks for Actuarial Mortality Modelling
title Bayesian Neural Networks for Actuarial Mortality Modelling
title_full Bayesian Neural Networks for Actuarial Mortality Modelling
title_fullStr Bayesian Neural Networks for Actuarial Mortality Modelling
title_full_unstemmed Bayesian Neural Networks for Actuarial Mortality Modelling
title_short Bayesian Neural Networks for Actuarial Mortality Modelling
title_sort bayesian neural networks for actuarial mortality modelling
url https://scholar.sun.ac.za/handle/10019.1/136197
work_keys_str_mv AT moehrkepatrickgary bayesianneuralnetworksforactuarialmortalitymodelling