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On Estimating the Force of Mortality

Published online by Cambridge University Press:  03 October 2014

J. J. McCutcheon
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Abstract

If x1<x2<…<xn and the values of lx1, lx2,…, lxn are given, we may wish to estimate the value of the force of mortality at a particular age xi. Two alternative methods of estimation, each used in standard tables, are discussed in some detail.

The most general estimates for each method are given by equations (13) and (22) above, the coefficients {cij} in these equations being defined by equation (11).

In the particular case of consecutive ages, the relevant estimates are given by equations (14) and (23). In this case the values of {cij} for n = 3, 5, 7, and 9 are contained in Tables 1—4 above.

Type
Research Article
Information
Transactions of the Faculty of Actuaries , Volume 38 , 1981 , pp. 407 - 417
Copyright
Copyright © Institute and Faculty of Actuaries 1981

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