Efficiency and Optimality Properties of a Class of k-Sample Rank Test Against Trend.
Ein asymptotischer Satz über den maximalen Minimalabstand von unabhängigen Zufallsvektoren mit Anwendung auf einen Anpassungstest im Rp und auf der Kugel.
Equivalence Between Tie-Corrected Spearman Test and a Chi-Square Test in a Fourfold Contingency Table.
Estimation and tests in finite mixture models of nonparametric densities
The aim is to study the asymptotic behavior of estimators and tests for the components of identifiable finite mixture models of nonparametric densities with a known number of components. Conditions for identifiability of the mixture components and convergence of identifiable parameters are given. The consistency and weak convergence of the identifiable parameters and test statistics are presented for several models.
Estimation and tests of the discrete probability law based on the empirical generating function, (two dimensional case).
Exact slopes of the rank statistics for the two-sample case under discrete distributions
The author studies the linear rank statistics for testing the pypothesis of randomness against the alternative of two samples provided both are drawn grom discrete (integer-valued) distributions. The weak law of large numbers and the exact slope are obtained for statistics with randomized ranks of with averaged scores.
Extensions to the Kruskal-Wallis test and a generalised median test with extensions.