Gompertz Curve
المؤلف:
Bowers, N. L. Jr.; Gerber, H. U.; Hickman, J. C.; Jones, D. A.; and Nesbitt, C. J
المصدر:
Actuarial Mathematics. Itasca, IL: Society of Actuaries,
الجزء والصفحة:
...
16-8-2021
1433
Gompertz Curve
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
for 
, 
(Gompertz 1832).
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.
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