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Date: 21-11-2021
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Date: 1-9-2021
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The function defined by
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It is used in actuHelvetica 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
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for ,
(Gompertz 1832).
REFERENCES:
Bowers, N. L. Jr.; Gerber, H. U.; Hickman, J. C.; Jones, D. A.; and Nesbitt, C. J. ActuHelvetica 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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