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单词 Gompertz Curve
释义

Gompertz Curve

The function defined by


It is used in actuarial science for specifying a simplified mortality law. Using as the probability that a newbornwill achieve age , the Gompertz law (1825) is


for , .

See also Life Expectancy, Logistic Growth Curve, Makeham Curve, Population Growth


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, 1825.


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更新时间:2025/2/22 2:26:23