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On Mr. Gompertz's Law of Human Mortality, and Mr. Edmond's Claims to Its Independent Discovery Extension

Published online by Cambridge University Press:  18 August 2016

T. B. Sprague
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Type
Correspondence
Information
Journal of the Institute of Actuaries , Volume 9 , Issue 5 , April 1861 , pp. 288 - 295
Copyright
Copyright © Institute and Faculty of Actuaries 1861

References

page 289 note * Since writing the above, I have found that I have been anticipated in this object by Mr. Peter Gray, who h is fully explained the. nature and application of Mr. Gom-pertz's method of interpolation in a paper (Assur. Mag., vol. vii., p. 121), which is well worthy of every student's attention. In comparing Mr. Gray's form of the demonstration with that given in the text, it must be borne in mind that the constant added in the integration being arbitrary, may either be written +C, as Mr. Gray has it, or -logcd, which is Mr. Gompertz's form.

page 291 note * I use n here in preference to Mr. Gompertz's a, becanse the letter a has already teen used to denote another quantity in the expression aqx.

page 292 note * Similar to this, is Mr. Edmonds's use of the word “formula” to denote an equation, as Lx=dgqx, instead of the expression expression (dgqx) which forms the second member ofsecond member of the the equation.