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Some Remarks on the Mortality among Persons with Consumptive Family History

Published online by Cambridge University Press:  18 August 2016

Harald Westergaard
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Extract

One of the most interesting questions in mortality statistics is that of hereditary influences, but very little light has hitherto been thrown on this subject. What effect will the good or bad health of the present generation have on that of the future one? In which way will nature eliminate the fatal germs of a family disposition? Will they disappear through a gradual dying out of the persons with such a disposition, or will they in the course of time grow less dangerous till at last they have lost entirely their original character? All these questions have hitherto been left almost unanswered in spite of the great scientific and economic interest attached to them.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 31 , Issue 5 , October 1894 , pp. 375 - 386
Copyright
Copyright © Institute and Faculty of Actuaries 1895

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References

page 377 note * Grundzuge der Theorie der Statistik, Jena, 1890 Google Scholar.

page 383 note * The force of mortality being μ1, μ2, &c., we have approximately, if the number of living in age x, according to the life table, is lx :

page 385 note * The calculation of the mean error is in this case a little more complicated than under the supposition that we can loot upon the rates of mortality as definitely fixed by numerous observations. Here both the data in the group of selected persons, and in the other group of which the mortality is taken as typical, are liable to casual deviations. Let d 1 be the number of deaths during the first five years, d 2 the number of deaths after this date; let m 1 and m 2 be the years of life. The difference between the expected and actual deaths will then be . The mean error of being approximately , we shall have as the mean error of the above expression . In the present case we have d 1 = 119, d 2 = 126, , and consequently the mean error = 9. The devitation 251-226=25 is thus nearly three times the mean error.