Voronoi diagrams—a survey of a fundamental geometric data structure
ACM Computing Surveys (CSUR)
The quickhull algorithm for convex hulls
ACM Transactions on Mathematical Software (TOMS)
Testing multivariate uniformity and its applications
Mathematics of Computation
Uniformity Testing Using Minimal Spanning Tree
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 4 - Volume 4
Testing for Uniformity in Multidimensional Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
An empirical study of tests for uniformity in multidimensional data
Computational Statistics & Data Analysis
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A test for the hypothesis of uniformity on a support S驴驴 d is proposed. It is based on the use of multivariate spacings as those studied in Janson (Ann. Probab. 15:274---280, 1987). As a novel aspect, this test can be adapted to the case that the support S is unknown, provided that it fulfils the shape condition of 驴-convexity. The consistency properties of this test are analyzed and its performance is checked through a small simulation study. The numerical problems involved in the practical calculation of the maximal spacing (which is required to obtain the test statistic) are also discussed in some detail.