Robustness of Statistical Methods and Nonparametric Statistics

Abstract

Behaviour of L-estimators of location from the point of view of large deviations.- Simulation in research on linear models.- Note about solutions of asymptotic minimax test problems for special capacities.- Some remarks on the comparison of means in the case of correlated errors.- Robustness of multiple comparisons against variance heterogeneity.- The power of run test verifying the hypothesis of model linearity.- The robustness of selection procedures investigated by a combinational method.- Results of comparisons between different random number generators.- Robustness of the two-sample sequential t-test.- Optimal designs for contaminated linear regression.- Systems of one-dimensional continuous distributions and their application in simulation studies.- A combinatorial method in robustness research and two applications.- Analogy of the linear regression and the two-sample problem in robustness investigations.- Rates of consistency of classical one-sided tests.- Asymptotic robustness of Bayesian decision rules in statistical decision theory.- Ranks, standardized ranks and standardized aligned ranks in the analysis of Friedman's block design.- Chernoff type bounds of errors in hypothesis testing of diffusion processes.- Power simulation with the same random sequences under the null hypothesis and the alternative.- Robustness of two-sample tests for variances.- The influence of different shapes of distributions with the same first four moments on robustness.- Robust Bayes regression estimation under weak prior knowledge.- Distribution of the maximal GAP in a sample and its application for outlier detection.- Robustness of the two-sample t-test.- Robustness of three sequential one-sample tests against non-normality.- A test for exponential regression and its robustness.- Comparison of break points of estimators.- The robustness of some statistical tests. The Multivariate case.- Tests for independence in the family of continuous bivariate distributions with finite contingency.- Robustness of many-one statistics.- Testing hypotheses in nonlinear regression for nonnormal distributions.- The bootstrap in nonlinear regression.- Sharp inequalities for error probabilities of tests under moment conditions.- Simulation studies on robustness of the t- and u-test against truncation of the normal distribution.- Robust location-tests and classification procedures.- Minimax-linear estimation under incorrect prior information.- The roubstness of some procedures for the two-sample location problem - a simulation study (concept).- On the measurement of the tests robustness.- A Robust Estimate of Variance in a Linear Model.- Minimax-versus robust experimental designs: Two simple examples.