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The Error involved in the Approximation for qx

Published online by Cambridge University Press:  27 November 2014

H. Hosking Tayler
H. Hosking Tayler*
Affiliation:
Institute of Actuaries Students' Society
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Extract

1. The exact value of qx is

On the assumption of an uniform distribution of deaths over the year of age

If deaths are not uniformly distributed all these quantities may differ. This may be shown by expressing the first and last in the terms of the second, thus by Taylor's theorem:—

Type
Papers
Information
Journal of the Staple Inn Actuarial Society , Volume 1 , Issue 4 , 1914 , pp. 11 - 13
Copyright
Copyright © Institute of Actuaries Students' Society 1914

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References

* The equation may hold even if there is not an uniform distribution of deaths, but the conditions are unlikely to be fulfilled.

* It was pointed out in the discussion that the value for qx may be written and that the term in brackets could be obtained with sufficient accuracy from any similar mortality table available.