The function defined by
 |
It is used in actuarial science for specifying a simplified mortality law (Kenney and Keeping 1962, p. 241). Using 
as the probability that a newborn will achieve age 
, the Gompertz law is
![s(x)=exp[-m(c^x-1)],](/images/equations/GompertzCurve/NumberedEquation2.svg) |
for 
,
(Gompertz 1832).
Gompertz Curve
See also
Law of Growth, Life Expectancy, Logistic Map, Makeham Curve, Population GrowthExplore with Wolfram|Alpha
References
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.Gompertz, B. "On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies." Phil. Trans. Roy. Soc. London 123, 513-585, 1832.Kenney, J. F. and Keeping, E. S. Mathematics of Statistics, Pt. 1, 3rd ed. Princeton, NJ: Van Nostrand, 1962.Referenced on Wolfram|Alpha
Gompertz CurveCite this as:
Weisstein, Eric W. "Gompertz Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GompertzCurve.html