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math.PR2019
Non-comparability with respect to the convex transform order with applications
Idir Arab, Milto Hadjikyriakou, Paulo Eduardo Oliveira
In the literature of stochastic orders, one rarely finds results that can be considered as criteria for the non-comparability of random variables. In this paper, we provide results…
math.PR2019
On a conjecture about the comparability of parallel systems with respect to convex transform order
Idir Arab, Milto Hadjikyriakou, Paulo Eduardo Oliveira
In this paper we prove that two heterogeneous parallel systems with independent exponentially distributed components are comparable via the star transform order while the compariso…
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…