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Some Considerations in the Theories of Combinations, Probabilities, and Life Contingencies

Published online by Cambridge University Press:  28 May 2015

Peter Hardy
Peter Hardy
Affiliation:
London Assurance Corporation
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Extract

My object in the following paper is to give, in a few leading problems, a general and somewhat elementary view of the Theory of Probabilities, exhibiting the immediate dependence of the doctrine of Life Contingencies on the laws of probability and combination, and showing how apparently complicated problems, involving two and three lives, can be deduced directly from their very simplest and most elementary forms of expression.

From the nature of the subject-matter proposed to be treated, it will be at once perceived, that this paper is intended rather for the instruction of the student in this branch of mathematical analysis, than for the use of the proficient; and I claim for it no higher distinction.

Type
Research Article
Information
Transactions of the Institute of Actuaries , Volume 1 , 1849 , pp. 1 - 22
Copyright
Copyright © Institute and Faculty of Actuaries 1849

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References

page 14 note * See Baily, chap. ii., Prob. 2, p. 50; and Hardy's, Notation, p. 33.Google Scholar

page 15 note * Baily, Prob. 2, p. 50; Hardy's, Notation, p. 36.Google Scholar

page 16 note * Baily, chap. iii. p. 58; Hardy's, Notation, p. 36.Google Scholar

page 17 note * Baily, chap. iii., and Hardy's, Notation, p. 33.Google Scholar

page 18 note * The above expression is obviously identical with See Hardy's, Notation, p. 38.Google Scholar

page 19 note * The equivalent expression for the formula given in the text is —See Hardy's, Notation, p. 37.Google Scholar