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Some Elementary Life Table Approximations

Published online by Cambridge University Press:  03 October 2014

J. J. McCutcheon
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Extract

In the course of some recent work (cf. reference 2) it proved necessary to construct a life table from a set of graduated values of mx, the central death rate at exact age x. This meant that values of qx had to be derived in order to produce the life table from a given radix. Since the values of mx were known only for integer values of x, it was necessary to use an approximate method to derive the corresponding values of qx at each age. In this note we discuss briefly the approximations which we adopted. Our results are necessarily of an elementary nature and the principal reason for setting them down is to provide a reference for possible future use. It is perhaps worth pointing out that in a situation where the values of mx are given by an explicit mathematical formula values of qx may be obtained exactly using the results of reference 1.

Type
Research Article
Information
Transactions of the Faculty of Actuaries , Volume 35 , 1975 , pp. 297 - 301
Copyright
Copyright © Institute and Faculty of Actuaries 1975

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References

1.McCutcheon, J. J.Some remarks on the basic mortality functions, T.F.A., vol. 32, pp. 395–403.Google Scholar
2.McCutcheon, J. J. and Eilbeck, J. C.Experiments in the graduation of the English Life Tables (No. 13) data, T.F.A., vol. 35, pp. 281–296.Google Scholar
3. Registrar General's Decennial Supplement, England and Wales 1961 Life Tables (H.M.S.O., London), 1967.Google Scholar