Moments of order statistics from the Gompertz-Makeham Distribution

Mohamed I. Riffi


In this paper we study the moments of order statistics corresponding to a random sample of finite size from the three-parameter Gompertz-Makeham distribution. We will derive explicit closed-form formulas for the moment-generating function of order statistics from this distribution in terms of the integro-exponential function. Then, we derive explicit close-form formulas for the moments of all orders random variables follow this distribution. Then we prove an identity that relates the moments of order statistics from the Gompertz-Makeham distribution to the moments of random variables from this distribution.


Gompertz-Makeham distribution, Order statistics, Moments, Moment-generating function.

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