We construct two U-empirical tests for the logistic location family which are based on appropriate characterization of this family using independent exponential shifts. We study the limiting distributions and local Bahadur efficiency of corresponding test statistics under close alternatives. It turns out that the present tests are considerably more efficient than the recently proposed similar tests based on another characterization. The efficiency calculations are accompanied by the simulation of power for new tests together with the previous ones.Both efficiency and power turn out to be very high. Finally we consider the application of our tests to real data example.

中文翻译：

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物流地点族的拟合优度检验

我们为逻辑位置族构建了两个 U 经验检验，它们基于使用独立指数移位对该族的适当表征。我们研究了在紧密替代方案下相应测试统计量的极限分布和局部 Bahadur 效率。事实证明，目前的测试比最近提出的基于另一个特征的类似测试要有效得多。效率计算伴随着新测试的功率模拟以及以前的测试。效率和功率都非常高。最后，我们考虑将我们的测试应用于真实数据示例。