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On the Nature of the Function Expressive of the Law of Human Mortality

Published online by Cambridge University Press:  18 August 2016

M. E. Ogborn
M. E. Ogborn*
Affiliation:
The Equitable Life Assurance Society
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Extract

Is there a mathematical formula which will express the way in which mortality changes age by age? Many students have sought that will-o'-the-wisp but have had to confess failure. For example, Sir William Elderton says:

but such a course did not satisfy me, because the failure… implied that the method was artificial and that I was not getting nearer to the root of the matter. To put the matter another way—I had not reached the best form in which to express the results: I had only obtained any approximation which led no further.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 79 , Issue 2 , September 1953 , pp. 170 - 212
Copyright
Copyright © Institute and Faculty of Actuaries 1953

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References

page 170 note * J.I.A. LXIV, 3.

page 171 note * Reprinted J.I.A. XVIII, 251.

page 171 note † Reprinted J.I.A. VI, 351 and VII, 14.

page 172 note * Edmonds did not acknowledge Gompertz's priority—but this is an old controversy now of little interest.

page 172 note † J.I.A. VIII, 301.

page 172 note ‡ J.I.A. XIII, 325.

page 172 note § J.I.A. XXVIII, 152.

page 173 note * J.I.A. XVI, 329.

page 173 note † J.I.A. XVI, 313.

page 173 note ‡ J.I.A. LXV, 19.

page 174 note * J.I.A. LXIII, 31.

page 174 note † Reprinted in Pearson's, Karl Early Statistical Papers, Cambridge University Press, 1948, pp. 105–7.Google Scholar

page 174 note ‡ Human Biology, vol. XI.

page 175 note * These attempts are different in kind from Elderton's very successful method of fitting Makeham and other formulae by the use of an assumed frequency curve which approximately represents the exposed to risk.

page 175 note † J.I.A. LXIV, 5.

page 175 note ‡ Proc. Cent. Assembly Inst. Actuaries, II, 89.

page 175 note § J.I.A. LXXVII, 382.