Showing papers by "Hammou El Barmi published in 2003"
TL;DR: In this article, a projection-type estimator was proposed for the nonparametric maximum likelihood estimator of a distribution function under uniform stochastic ordering, where the NPMLE also fails to be consistent.
Abstract: A random variable X is symmetric about 0 if X and -X have the same distribution. There is a large literature on the estimation of a distribution function (DF) under the symmetry restriction and tests for checking this symmetry assumption. Often the alternative describes some notion of skewness or one-sided bias. Various notions can be described by an ordering of the distributions of X and -X. One such important ordering is that $P(0
6 citations