Skewness-Kurtosis Controlled Higher Order Equivalent Decisions

Wolf-Dieter Richter

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Skewness-Kurtosis Controlled Higher Order Equivalent Decisions

机译：偏度-峭度控制的高阶等价决策

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We define equivalence of asymptotic Gaussian expectation tests when error probabilities of first kind are approaching zero at the same restricted speed for both tests and if the same holds true for the error probabilities of second type which are measured at a moderate locally chosen alternative. To ensure such equivalence, the in?uence of skewness and kurtosis parameters is studied.

机译：我们定义渐近高斯期望检验的等价性，当两种检验的第一种误差概率在相同的受限速度下趋近于零，并且对于第二种误差概率在适度的局部选择下测得的第二种误差概率均成立时，则定义为等价的。为了确保这种等效性，研究了偏度和峰度参数的影响。

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《The Open Statistics & Probability Journal》 |2017年第1期|共9页
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Wolf-Dieter Richter;
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Skewness-Kurtosis Controlled Higher Order Equivalent Decisions

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