The Theory of the Construction of Tables of Mortality And of Similar Statistical

Cover The Theory of the Construction of Tables of Mortality And of Similar Statistical
The Theory of the Construction of Tables of Mortality And of Similar Statistical
George Francis Hardy
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Innkeepers, Publicans, 6fe. (1881).
Ages t Living above age t Proportional numbers J GO Values of 15 232, 890 10000 00 20 230, 280 •9888 1-6147 25 222, 213 •9542 1-1929 45 105, 153 •4515 - •0862 65 14, 451 •0620 -1-0877 It will be seen that more than 50 per-cent of the numbers living are in the age-group 25-45, and nearly 40 per-cent in 97 the group 45-65. In such a series the usual methods of interpolation would probably give unsatisfactory results.
If we treat the values of z as having consta
...nt third differences, we obtain the following equations, taking five years of age as the unit — a =1-6147 a-^h =1-1929 a + 5/; + 10c + 10cZ= - -0862 a + 9& + 36c + 84cZ=- 1-0877 h, c, and d are the values, reckoning from age 20, of the differences of z. The values of a and h are e-iven immediateJv and solving the remaining equations for c and d we obtain — «= 1-6147 c = -04863 &=--4218 d=_-00782 which enable us to form at once the following series of xj^uinquennial age groups.
Table XVIII.


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