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Experiments in the Graduation of the English Life Tables (No. 13) Data

Published online by Cambridge University Press:  03 October 2014

J. J. McCutcheon  and
J. C. Eilbeck
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Extract

By courtesy of the Government Actuary, the preliminary crude data relating to the proposed English Life Tables (No. 13) were made available to the authors. In this paper various graduations derived from these data “are described and an outline is given of the salient features of each.

The investigation covered the calendar years 1970, 1971, and 1972. For each integer x ≥ 2 the values of θx, the number of deaths during the investigation period aged x last birthday at the time of death, and Exc, the corresponding central exposure to risk, were available for both sexes. The central exposures to risk were obtained using population totals from the 1971 national census, by a method similar to that described in Appendix I of reference 4.

Type
Research Article
Information
Transactions of the Faculty of Actuaries , Volume 35 , 1975 , pp. 281 - 296
Copyright
Copyright © Institute and Faculty of Actuaries 1975

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References

1.McCutcheon, J. J.On the measurement of infant mortality. T.F.A., vol. 34, pp. 433–442.Google Scholar
2.McCutcheon, J. J.Some elementary life table approximations. T.F.A., vol. 35, pp. 297–301.Google Scholar
3.Powell, M. J. D. in Numerical Approximation to Functions and Data, (ed. Hayes, J. G.), Athlone Press 1970, pp 65–68.Google Scholar
4. Registrar General's Decennial Supplement, England and Wales 1961 Life Tables (H.M.S.O., London), 1967.Google Scholar
5.Joint Mortality Investigation Committee. Considerations affecting the preparation of standard tables of mortality. T.F.A., vol. 34, pp. 135–235.Google Scholar
6. Registrar General's Statistical Review of England and Wales (annual), (H.M.S.O., London).Google Scholar