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On the Treatment of Incomplete Years of Exposure in a Mortality Experience derived from Records of Assured Lives

Published online by Cambridge University Press:  18 August 2016

George J. Lidstone
George J. Lidstone
Affiliation:
Alliance Assurance Company
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Abstract

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Type
Actuarial Note
Information
Journal of the Institute of Actuaries , Volume 31 , Issue 4 , July 1894 , pp. 304 - 309
Copyright
Copyright © Institute and Faculty of Actuaries 1895

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References

page 306 note * This may be shown as follows:

whre the second fraction is > = <1 as X < = > Y, i.e., as < = > 1.

page 306 note † This will appear from a consideration of the fact that is (1−k) times the average value of μ between the limits k and 1, while (1−k) is (1−k) times the average value between the points 0 and 1. If μ is never decreasing the first average value can never be less than the second.