论文标题
cramér-von mises在超球场上的均匀性测试
A Cramér-von Mises test of uniformity on the hypersphere
论文作者
论文摘要
在分析只有方向（而不是幅度）的多元数据时，在超孔上支持的样本的测试均匀性是第一步。在这项工作中，引入了基于投影的Cramér-von Mises对超球的均匀性测试。该测试可以被视为众所周知的沃森圆形均匀性测试的扩展。获得测试统计量的无渐近分布，并通过数值实验可易于处理和实用。一项关于陨石坑在金星上分布的均匀性的新研究说明了测试的用法。
Testing uniformity of a sample supported on the hypersphere is one of the first steps when analysing multivariate data for which only the directions (and not the magnitudes) are of interest. In this work, a projection-based Cramér-von Mises test of uniformity on the hypersphere is introduced. This test can be regarded as an extension of the well-known Watson test of circular uniformity to the hypersphere. The null asymptotic distribution of the test statistic is obtained and, via numerical experiments, shown to be tractable and practical. A novel study on the uniformity of the distribution of craters on Venus illustrates the usage of the test.
