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On the Consistency of the Crossmatch Test

Statistics Theory 2015-09-22 v1 Statistics Theory

Abstract

Rosenbaum (2005) proposed the crossmatch test for two-sample goodness-of-fit testing in arbitrary dimensions. We prove that the test is consistent against all fixed alternatives. In the process, we develop a general consistency result based on (Henze & Penrose, 1999) that applies more generally.

Keywords

Cite

@article{arxiv.1509.05790,
  title  = {On the Consistency of the Crossmatch Test},
  author = {Ery Arias-Castro and Bruno Pelletier},
  journal= {arXiv preprint arXiv:1509.05790},
  year   = {2015}
}