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On the Duality of Assumptions Underpinning the Construction of Life Tables

Published online by Cambridge University Press:  29 August 2014

A. E. Renshaw
Affiliation:
City University of London
S. Haberman
Affiliation:
City University of London
P. Hatzopoulos
Affiliation:
City University of London
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Abstract

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We investigate the implications of a dual approach to the graduation of the force of mortality based on the modelling of the exposures as gamma random variables, as opposed to the modelling of the numbers of deaths as Poisson random variables.

Type
Articles
Copyright
Copyright © International Actuarial Association 1997

References

Beard, R E & Perks, W. (1949) The Relatıon between the Dıstrıbutıon of Sıckness and the Effect of Duplıcates on the Dıstribution of Deaths J I A., 75, 75Google Scholar
Cox, D R. & Oakes, D (1984) Analysıs of Survıval Data. Chapman and Hall.Google Scholar
Daw, R H (1980) Johann Heınrıch Lambert ( 1728-1777) J.I A., 107, 345363Google Scholar
Francis, B, Green, M. & Payne, C. (1993) Eds The GLIM System Release 4 ManualClarendon Press, OxfordGoogle Scholar
Forfar, D.O., McCutcheon, J.J. & Wilkie, A.D. (1988). On Graduation by Mathematical Formula. J.I.A., 115., 1135 and T.F.A., 41, 97.Google Scholar
Gerber, H.U. (1995). Life Insurance Mathematics. (2nd. edition). Springer.Google Scholar
Lambert, J.H. (1772). Anmerkungen über die Sterbluhkeit, Todtenlisten, Gebusthen un Ehen. Vol III, 475599Google Scholar
McCullagh, P. & Nelder, J.A. (1989). Generalized Linear Models. (2nd. edition). Chapman & Hall.Google Scholar
Renshaw, A.E. (1991). Actuarial Graduation Practice and Generalized Linear & Non-Linear Models. J.I.A., 118, 295312.Google Scholar
Renshaw, A.E. (1992). Joint Modelling for Actuarial Graduation and Duplicate Policies. J.I.A., 119, 6985.Google Scholar
Renshaw, A.E. & Haberman, S. (1996). Dual Modelling and Select Mortality. I.M.E. To appear.Google Scholar
Renshaw, A.E., Haberman, S. & Hatzopoulos, P. (1996). Recent Mortality Trends in U.K. Male Assured Lives. B.A.J., 2, 449477.Google Scholar