Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-27T11:05:52.739Z Has data issue: false hasContentIssue false

Transition Intensities for a model for Permanent Health Insurance1

Published online by Cambridge University Press:  29 August 2014

Isabel Maria Ferraz Cordeiro*
Affiliation:
Escola de Economia e Gestão, Universidade do Minho, Campus Universitário de Gualtar, 4710-057 Braga, Portugal,Tel: ++351-253-604546, Fax:++351-253-676375, E-mail:icordeiro@eeg.uminho.pt
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The purpose of this paper is to obtain approximations to the transition intensities defined for a multiple state model for Permanent Health Insurance (PHI) which enables us to analyse PHI claims by cause of disability.

The approximations to the transition intensities are obtained using a set of PHI data classified by 18 sickness categories and the graduations of the transition intensities defined for a simpler model proposed in Continuous Mortality Investigation Reports, 12 (1991).

In order to derive the approximations to the recovery and mortality of the sick intensities for our model, we carry out tests of hypotheses based on the distributions of average sickness durations. The approximations to the sickness intensities are obtained by estimating a statistical model for the number of claim inceptions, which can be formulated as a generalized linear model.

Type
Workshop
Copyright
Copyright © International Actuarial Association 2002

Footnotes

1

This research was supported by FCT - Fundação para a Ciência e Tecnologia, Portugal under program PRAXIS XXI.

References

Continuous Mortality Investigation Committee (1986) Cause of Disability Experience Individual PHI Policies 1975–78. Continuous Mortality Investigation Reports, 8, pp. 6588. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Continuous Mortality Investigation Committee (1991) The Analysis of Permanent Health Insurance Data. Continuous Mortality Investigation Reports, 12. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Continuous Mortality Investigation Committee (1993) Calculation of Continuation Tables and Allowance for Non-Recorded Claims Based on the PHI Experience 1975–78. Continuous Mortality Investigation Reports, 13, pp. 123130. The Institute of Actuaries and the Faculty of Actuaries.Google Scholar
Cordeiro, I.M.F. (1998) A Stochastic Model for the Analysis of Permanent Health Insurance Claims by Cause of Disability. Ph.D. Thesis. Department of Actuarial Mathematics and Statistics, Heriot-Watt University, Edinburgh, U.K.Google Scholar
Cordeiro, I.M.F. (2002) A Multiple State Model for the Analysis of Permanent Health Insurance Claims by Cause of Disability. Insurance: Mathematics & Economics, forthcoming.Google Scholar
Dobson, A.J. (1990) An Introduction to Generalized Linear Models. Chapman & Hall, London.CrossRefGoogle Scholar
Francis, B., Green, M. and Payne, C. (1993) The GLIM System. Release 4 Manual. Clarendon Press, Oxford.CrossRefGoogle Scholar
Hoem, J.M. (1987) Statistical Analysis of a Multiplicative Model and its Application to the Standardization of Vital Rates: a Review. International Statistical Review, 55/2, pp. 119152.CrossRefGoogle Scholar
Macdonald, A.S. (1996) An Actuarial Survey of Statistical Models for Decrement and Transition Data, I: Multiple State, Binomial and Poisson Models. British Actuarial Journal, 2, pp. 129155.CrossRefGoogle Scholar
McCullagh, P. and Nelder, J. A. (1989) Generalized Linear Models. Chapman & Hall, London.CrossRefGoogle Scholar
Schou, G. and Vaeth, M. (1980) A Small Sample Study of Ocurrence/Exposure Rates for Rare Events. Scandinavian Actuarial Journal, 1980, pp. 209225.CrossRefGoogle Scholar
Sverdrup, E. (1965) Estimates and Test Procedures in Connection with Stochastic Models for Deaths, Recoveries and Transfers Between Different States of Health. Scandinavian Actuarial Journal, 1965, pp. 184211.CrossRefGoogle Scholar