3 papers
math.ST2025
On a transform of the Vincze-statistic and its exact and asymptotic distribution
Dietmar Ferger
We motivate a new nonparametric test for the one-sided two-sample problem, which is based on a transform T of the Vincze-statistic (R,D). The exact and asymptotic distribution of T…
math.PR2024
Weak convergence of probability measures on hyperspaces with the upper Fell-topology
Dietmar Ferger
Let E be a locally compact second countable Hausdorff space and F the pertaining family of all closed sets. We endow F respectively with the Fell-topology, the upper Fell topology…
math.ST2022
Exact and asymptotic goodness-of-fit tests based on the maximum and its location of the empirical process
Dietmar Ferger
The supremum of the standardized empirical process is a promising statistic for testing whether the distribution function of i.i.d. real random variables is either equal to a g…