标题： 检验双样本问题的统计功能 显示英文标题

标题： Testen statistischer Funktionale für Zweistichprobenprobleme

摘要： 统计函数的检验理论用于非参数两样本问题。 对于可微的实值统计函数，提出了并研究了一侧和两侧情况的检验。 计算了沿隐含替代假设和假设的渐近功效函数，并与极限实验检验的功效函数的上界进行了比较。 证明了在弱假设下，所提出的检验是局部渐近最有效的。 对于一些重要的检验问题，开发了分布无关的渐近最优检验。 其中，处理了冯·米塞斯函数的乘积和和以及威尔科xon函数。 我们特别关注检验的可计算性。 显示英文摘要

摘要： The theory of testing statistical functionals is developed for non-parametric two-sample problems. For differentiable real-valued statistical functionals, some tests for the one-sided and two-sided cases are proposed and studied. The asymptotic power function is computed along implicit alternatives and hypotheses and compared with upper bounds for the power functions of tests for limit experiments. It is shown that the proposed tests are locally asymptotically most powerful under weak assumptions. For some important test problems, the distribution-free asymptotic optimal tests are developed. Among other things, the products and sums of von Mises functionals and the Wilcoxon functional are treated. We pay special attention to the computability of the tests.