Moments of order statistics from the gompertz-makeham distribution

Abstract EN

In this paper we study the moments of order statistics corresponding to a random sample of finite size from the three-parameter GompertzMakeham 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 GompertzMakeham distribution to the moments of random variables from this distribution