On the limit behavior of iterated equilibrium distributions for the Gamma and Weibull families

01/07/2019

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by   Idir Arab, et al.

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In this paper, we study the evolution of iterated equilibrium distributions for the Gamma and Weibull families of distributions as the iteration step increases. We characterize their moments and the pointwise limit of the distribution functions corresponding to the iterated distributions. As a byproduct, we obtain approximations for higher order moments of the residual lifetime.