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On the Adjustment of Mortality Tables; a sequel to former Papers on the same subject

Published online by Cambridge University Press:  18 August 2016

Extract

A method of adjusting mortality tables was originally devised by me expressly for the purpose of accomplishing the graduation of the Institute Tables of Mortality, which operation had been entrusted to me by the Experience Committee. The resulting adjustments proved to be very satisfactory, and a full explanation of the process adopted is given in the Institute of Actuaries' Life Tables and in the Journal of the Institute, vol. xv, p. 389.

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1879

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References

page 40 note * See my paper on Interpolation,” Journal of the Institute, vol. xi, p. 68 Google Scholar, formula (a), in which x, which denotes the proportionate interval, is now = .

page 41 note * The expressions may be otherwise deduced, thus : Since, generally, by (1)

Hence, beginning with γ0 = l −0+l +0=2l, the values of γ1, γ2, &c., are immediately deduced in succession. The quantities α1, α2, … α7 are therefore the first differences of the series γ0, γ1, γ2, … γ7.

page 46 note * At the end of the table there cannot he any such insufficiency of data, because it is known that for all ages beyond the limiting age the tabular values are severally zero.

page 66 note * This might be considered an inviting and agreeable exercise by some member of the Institute, and the results, arranged in a tabular form, would be a desirable contribution to the Journal at a future period.