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• W2883712324 abstract "Abstract We give a simple conceptual proof of the consistency of a test for multivariate uniformity in a bounded set K ⊂ ℝ d that is based on the maximal spacing generated by independent and identically distributed points X 1 , . . ., X n in K , i.e. the volume of the largest convex set of a given shape that is contained in K and avoids each of these points. Since asymptotic results for the d > 1 case are only availabe under uniformity, a key element of the proof is a suitable coupling. The proof is general enough to cover the case of testing for uniformity on compact Riemannian manifolds with spacings defined by geodesic balls." @default.
• W2883712324 created "2018-08-03" @default.
• W2883712324 creator A5010989490 @default.
• W2883712324 date "2018-06-01" @default.
• W2883712324 modified "2023-09-26" @default.
• W2883712324 title "On the consistency of the spacings test for multivariate uniformity, including on manifolds" @default.
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• W2883712324 doi "https://doi.org/10.1017/jpr.2018.41" @default.
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