AffineMortality: An R package for estimation, analysis, and projection of affine mortality models
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Ungolo, Francesco
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Univ New South Wales, Sch Risk & Actuarial Studies, Kensington, NSW, Australia
Univ New South Wales, ARC Ctr Excellence Populat Ageing Res, Kensington, NSW, Australia
Tech Univ Munich, Garching, GermanyUniv New South Wales, Sch Risk & Actuarial Studies, Kensington, NSW, Australia
Ungolo, Francesco
[1
,2
,3
]
Garces, Len Patrick Dominic M.
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Univ New South Wales, ARC Ctr Excellence Populat Ageing Res, Kensington, NSW, Australia
Univ Technol Sydney, Sch Math & Phys Sci, Ultimo, NSW, AustraliaUniv New South Wales, Sch Risk & Actuarial Studies, Kensington, NSW, Australia
Garces, Len Patrick Dominic M.
[2
,4
]
Sherris, Michael
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Univ New South Wales, Sch Risk & Actuarial Studies, Kensington, NSW, Australia
Univ New South Wales, ARC Ctr Excellence Populat Ageing Res, Kensington, NSW, AustraliaUniv New South Wales, Sch Risk & Actuarial Studies, Kensington, NSW, Australia
Sherris, Michael
[1
,2
]
Zhou, Yuxin
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Univ New South Wales, Sch Risk & Actuarial Studies, Kensington, NSW, Australia
Univ New South Wales, ARC Ctr Excellence Populat Ageing Res, Kensington, NSW, AustraliaUniv New South Wales, Sch Risk & Actuarial Studies, Kensington, NSW, Australia
Zhou, Yuxin
[1
,2
]
机构:
[1] Univ New South Wales, Sch Risk & Actuarial Studies, Kensington, NSW, Australia
[2] Univ New South Wales, ARC Ctr Excellence Populat Ageing Res, Kensington, NSW, Australia
[3] Tech Univ Munich, Garching, Germany
[4] Univ Technol Sydney, Sch Math & Phys Sci, Ultimo, NSW, Australia
This paper presents the AffineMortality R package which performs parameter estimation, goodness-of-fit analysis, simulation, and projection of future mortality rates for a set of affine mortality models for use in pricing and reserving. The computational routines build on the univariate Kalman Filtering approach of Koopman and Durbin ((2000). Journal of Time Series Analysis, 21(3), 281-296.) along other numerical methods to enhance the robustness of the results. This paper provides a discussion of how the package works in order to effectively estimate and project survival curves, and describes the available functions. Illustration of the package for mortality analysis of the US male data set is provided.