4 citations · 5 across the 8 of their papers we have counts for
5 papers · 1 filter
Convex transform order of Beta distributions with some consequences
Idir Arab, Paulo Eduardo Oliveira, Tilo Wiklund
The convex transform order is one way to make precise comparison between the skewness of probability distributions on the real line. We establish a simple and complete characterisa…
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…
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…
Failure Rate Properties of Parallel Systems
Idir Arab, Milto Hadjikyriakou, Paulo Eduardo Oliveira
We study failure rate monotonicity and generalized convex transform stochastic ordering properties of random variables, with a concern on applications. We are especially interested…
Asymptotic results for certain weak dependent random variables
Idir Arab, Paulo Eduardo Oliveira
We consider a special class of weak dependent random variables with control on covariances of Lipschitz transformations. This class includes, but is not limited to, positively, neg…