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On the Construction of Life Tables, illustrated by a New Life Table of the Healthy Districts of England

Published online by Cambridge University Press:  18 August 2016

W. Farr Esq.
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Extract

The Transactions of the Royal Society contain the first Life Table. It was constructed by Halley, who discovered its remarkable properties, and illustrated some of its applications. The Breslau observations did not supply Halley with the data to frame an accurate table, for reasons which will be immediately apparent; but the conception is full of ingenuity, and the form is one of the great inventions which adorn the annals of the Royal Society.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 9 , Issue 3 , October 1860 , pp. 121 - 141
Copyright
Copyright © Institute and Faculty of Actuaries 1861

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References

page 122 note * The tables and plates referred to in this and the following pages will be found, with the concluding portion of the paper, in the next number.

page 125 note * By this, 15 and under 25 years of age is understood, and so in all similar cases.

page 126 note * See Treatise of Annuities on Lives; Preface to 2nd edition.

page 129 note * Philosophical Transactions, 1825; paper by B. Gompertz, Esq., F.R.S.

page 129 note † Life Tablesfounded on the Discovery of a Numerical Law regulating the Existence of every Human Being, &c. By T. B. Edmonds, B.A., 1832.

page 131 note * Here, at the age 20, m is the mean mortality that rules over the age19½ to 20½ years of exact time.

page 132 note * m serves to indicate the mean mortality in the year following the exact age x.

page 133 note * m at the precise age 20 is nearly ·00765. The increase in this mortalityfromthe age 20 to 20½, the middle of the year of age 20 to 21, is obtained lay adding ½λr, as above given, to λm19½, that is, to the log. of (m19½ + m20½)½; m20=·0077072

page 135 note * It will be borne in mind that these imply first differences, or .

page 140 note * Letter to the Registrar·General, in Appendix (p. 352) to his Fifth Annual Report, year 1843.