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math.ST2019
On the limit behavior of iterated equilibrium distributions for the Gamma and Weibull families
Idir Arab, Milto Hadjikyriakou, Paulo Eduardo Oliveira
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 the…
math.ST2017
Iterated failure rate monotonicity and ordering relations within Gamma and Weibull distributions
Idir Arab, Paulo Eduardo Oliveira
Stochastic ordering of distributions of random variables may be defined by the relative convexity of the tail functions. This has been extended to higher order stochastic orderings…