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On the doctrine of successive lives

Published online by Cambridge University Press:  18 August 2016

Peter Gray
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Information
Journal of the Institute of Actuaries , Volume 2 , Issue 1 , 1852 , pp. 1 - 16
Copyright
Copyright © Institute and Faculty of Actuaries 1852

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References

page 1 note * The present author thinks it right to state that the following paper was prepared before he had an opportunity of seeing Mr. Davies's work.

page 2 note * De Morgan on Probabilities (Lardner's Cyclopædia), p. 190.

page 3 note * De Morgan on Probabilities, p. 228.

page 6 note * By adding unity to the tabular value of an annuity on the given age, agreeably to (8).

page 9 note * For when n = I, Ay n-1 becomes Ay o which is equal to unity, whatever the value of Ay may be.

page 10 note * This is a decreasing series in geometrical progression, whose common ratio is Ay. The rule for summing such series is to be found in all elementary works on Algebra. It is as follows:—Multiply the last term by the common ratio; subtract the product from the first term; and divide the remainder by the excess of unity over the common ratio.

page 16 note *** Part II., containing the PRAXIS, will appear in a subsequent Number.