Multi-population mortality forecasting using tensor decomposition

Yumo Dong, Fei Huang, Honglin Yu and Steven Haberman

Scandinavian Actuarial Journal, 2020, vol. 2020, issue 8, 754-775

Abstract: In this paper, we formulate the multi-population mortality forecasting problem based on 3-way (age, year, and country/gender) decompositions. By applying the canonical polyadic decomposition (CPD) and the different forms of the Tucker decomposition to multi-population mortality data (10 European countries and 2 genders), we find that the out-of-sample forecasting performance is significantly improved both for individual populations and the aggregate population compared with using the single-population mortality model based on rank-1 singular value decomposition (SVD), or the Lee–Carter model. The results also shed lights on the similarity and difference of mortality among different countries. Additionally, we compare the variance-explained method and the out-of-sample validation method for rank (hyper-parameter) selection. Results show that the out-of-sample validation method is preferred for forecasting purposes.

Date: 2020
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Citations: View citations in EconPapers (10)

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DOI: 10.1080/03461238.2020.1740314

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