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The effect of duplicate policies upon the variance of sickness data

Published online by Cambridge University Press:  20 April 2012

R. H. Daw
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Extract

The data presented in C.M.I.R. (1979) and (1984) on the Sickness Experience for Individual PHI Policies contain duplicate policies. In dealing with these data it is therefore necessary to be able to take account of the effect of duplicates on the variance of sickness claim inceptions and of weeks of sickness claims.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 111 , Issue 3 , December 1984 , pp. 565 - 567
Copyright
Copyright © Institute and Faculty of Actuaries 1984

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References

Beard, R. E. (1947) The standard deviation of the distribution of sickness. J.S.S. 7, 23.Google Scholar
Beard, R. E. & Perks, W. (1949) The relation between the distribution of sickness and the effect of duplicates on the distribution of deaths. J.I.A. 75, 75.Google Scholar
C.M.I. (1957) Memorandum on a special inquiry into the distribution of duplicate policies. J.I.A. 83, 34.Google Scholar
Continuous Mortality Investigation Reports: (1979) Sickness experience 1972–75 for individual policies. C.M.I.R. 4, 1.Google Scholar
(1984) Sickness experience 1975–78 for individual PHI policies. C.M.I.R. 7, 1.Google Scholar
Satterthwaite, F. E. (1942) Generalized Poisson distribution. Ann. of Math. Stats. 13, 410.CrossRefGoogle Scholar