7 papers
Integral stochastic orders of -generalized order statistics from transform-ordered nonparametric families
Idir Arab, Tommaso Lando, Paulo Eduardo Oliveira +1
We provide sufficient conditions for comparing -generalized order statistics with respect to the increasing concave, increasing convex, and star-shaped stochastic orders. These…
Nonparametric tests for stochastic dominance between linear combinations of risks
Tommaso Lando, Paulo Eduardo Oliveira
Weighted aggregations of i.i.d. risks without a finite mean can behave in a strikingly different way from the finite-mean case: as the weight vector becomes more balanced, the resu…
Inference for concave distribution functions under measurement error
Mohammed Es-Salih Benjrada, Cecile Durot, Tommaso Lando
We propose an estimator of a concave cumulative distribution function under the measurement error model, where the non-negative variables of interest are perturbed by additive inde…
A new class of tests for convex-ordered families based on expected order statistics
Tommaso Lando, Mohammed Es-Salih Benjrada
Consider a pair of cumulative distribution functions and , where is unknown and is a known reference distribution. Given a sample from , we propose tests to detec…
Bootstrap-based tests for the total time on test and the excess wealth orders
Tommaso Lando, Sirio Legramanti
Given a pair of non-negative random variables and , we introduce a class of nonparametric tests for the null hypothesis that dominates in the total time on test orde…
Convex combinations of random variables stochastically dominate the parent for a new class of heavy-tailed distributions
Idir Arab, Tommaso Lando, Paulo Eduardo Oliveira
Stochastic dominance of a random variable by a convex combination of its independent copies has recently been shown to hold within the relatively narrow class of distributions with…