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On the Construction of Life Tables, illustrated by a new Life Table of the Healthy Districts of England (Concluded from page 141)
Published online by Cambridge University Press: 18 August 2016
Extract
The series lx has been constructed, and from that series others are deduced to complete the Life Table, consisting now of six columns.
(1.) dx=lx−lx+1=number of deaths in the year of age following, out of lx alive at the age x. By taking x successively at 0, 1, 2, 3…to the last age in the Table, the numbers dying in every year of age are obtained.
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- Copyright © Institute and Faculty of Actuaries 1861
References
page 190 note * See paper in Appendix to Registrar-General's Sixth Annual Report, pp. 544-552.
Extract from, the Registrar-General's Sixth Annual Report (1845), p. 528.
“Note.—Halley's Table (1693) contained the column P. John Smart made 1,000 ‘born’ the basis of his Table (1738), and introduced the columns d and l. Simpson adopted Smart's form of Table, which was followed by Kersseboom (1738), Deparcieux (1746), Price (1773), and Milne (1815). The columns S.y, y, and Δy, in Duvillard's Loi de Mortalité (en France) dans l'étal naturel, correspond with the columns L, l, d, in the new Table. The S.y added by Duvillard is our L, and Barrett's column B. Duvillard's short Table (p. 123) has the four columns d, l, P, Q, for quinquennial or decennial ages, and the ‘expectation of life.’ Mathieu's Table II. is an expansion of the column Q of Duvillard's short Table, and is that column for each year of age. In a recent report on the Bengal Military Fund, Mr. Davies has a Table (1) containing columns corresponding with the d, l, L, P, Q, of the English Table, the ‘Mortality per cent.’, and the ‘Expectation of Life’ at each age.”
I have in this paper employed d, l, L, instead of C, D, N, which have been formerly used by me and others, and should still be used where the factor v is introduced.
page 190 note † Influence de la Petite Vérole, p. 161.
page 190 note ‡ See the Note (A), p. 558.
page 193 note * The addition of 1 to the numerator, and of 2 to the denominator, may be neglected, when, as in this case, the numbers are large.
page 197 note * The annual deaths to 1,000 living of all ages, inserted in parentheses, are deduced from returns of the living at the Censuses of 1841 and 1851, and the deaths registered in the ten years 1841 to 1850. (See Registrar-General's Sixteenth Report, pp. 141 to 153.)
page 198 note * Report to the Registrar-General on Cholera, pp. xcv., xcvi.
page 199 note * Sir John Pringle.
page 203 note * The quality or the intensity of life at different ages is purposely left out of consideration.