4 citations · 5 across the 8 of their papers we have counts for
10 papers
Transform orders and stochastic monotonicity of statistical functionals
Tommaso Lando, Idir Arab, Paulo Eduardo Oliveira
In some inferential statistical methods, such as tests and confidence intervals, it is important to describe the stochastic behavior of statistical functionals, aside from their la…
Denoising and Interior Detection Problems
Nuno Picado, Paulo Eduardo Oliveira
Let be a compact manifold of . The goal of this paper is to decide, based on a sample of points, whether the interior of is empty or not.…
Second-order stochastic comparisons of order statistics
Tommaso Lando, Idir Arab, Paulo Eduardo Oliveira
We study the problem of comparing ageing patterns of the lifetime of k-out-of-n systems. Mathematically, this reduces to being able to decide about a stochastic ordering relationsh…
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…