Testing Symmetry
研究了两种检验分布函数关于未知点对称性的方法：修剪Wilcoxon检验和基于间隙的检验，给出了它们在对称和近邻备择下的渐近分布，并发现这些方法在单峰密度下水平稳定性好。
Abstract Tests for symmetry of a distribution function about an unknown value are investigated. The asymptotic distributions under symmetry as well as under near alternatives are given for two kinds of tests: trimmed Wilcoxon tests and tests based on gaps. It turns out that these procedures have a good stability of level under unimodal densities. In a special case (skewness to the left) the efficacies have been calculated. Monte Carlo results are also given.