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On the special role of Gompertz mortality law in multiple life contingencies

Author

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  • Mariusz Skałba

    (Uniwersytet Warszawski, Szkoła Główna Handlowa w Warszawie)

Abstract

The Gompertz mortality law has the property that given a joint-life status of individuals chosen from the population, the time-to-failure of this status obeys also Gompertz mortality law. Solving an appropriate functional equation we show that this property characterizes Gompertz law in the class of mortality laws with increasing force-of-mortality functions.

Suggested Citation

  • Mariusz Skałba, 2010. "On the special role of Gompertz mortality law in multiple life contingencies," Collegium of Economic Analysis Annals, Warsaw School of Economics, Collegium of Economic Analysis, issue 21, pages 141-145.
    • Handle: RePEc:sgh:annals:i:21:y:2010:p:141-145
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