Makeham Curve

The function defined by


which is used in actuarial science for specifying a simplified mortality law (Kenney and Keeping 1962, pp. 241-242). Using s(x) as the probability that a newborn will achieve age x, the Makeham law (1860) uses


for B>0, A>=-B, c>1, x>=0.

See also

Gompertz Curve, Law of Growth, Life Expectancy, Logistic Map, Population Growth

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Bowers, N. L. Jr.; Gerber, H. U.; Hickman, J. C.; Jones, D. A.; and Nesbitt, C. J. Actuarial Mathematics. Itasca, IL: Society of Actuaries, p. 71, 1997.Kenney, J. F. and Keeping, E. S. Mathematics of Statistics, Pt. 1, 3rd ed. Princeton, NJ: Van Nostrand, 1962.Makeham, W. M. "On the Law of Mortality and the Construction of Annuity Tables." J. Inst. Actuaries and Assur. Mag. 8, 301-310, 1860.Makeham, W. M. "On an Application of the Theory of the Composition of Decremental Forces." J. Inst. Actuaries and Assur. Mag. 18, 317-322, 1874.

Referenced on Wolfram|Alpha

Makeham Curve

Cite this as:

Weisstein, Eric W. "Makeham Curve." From MathWorld--A Wolfram Web Resource.

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