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Nonparametric two sample testing deals with the question of consistently deciding if two distributions are different, given samples from both, without making any parametric assumptions about the form of the distributions.
The generalization of student’s ratio
Hotelling, Harold · 1931
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On an optimum property of two important statistical tests
Simaika, JB · 1941
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An introduction to multivariate statistical analysis
Anderson, Theodore W · 1958
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Minimax character of hotelling’s t2 test. i
Salaevskii, O.V · 1971
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A robustness property of hotelling’s t2-test
Kariya, Takeaki · 1981
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Effect of high dimension: by an example of a two sample problem
Bai, Zhidong D and Saranadasa, Hewa · 1996
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Learning with Kernels
Schölkopf, Bernhard and Smola, A. J · 2002
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Testing for equal distributions in high dimension
Székely, Gábor J and Rizzo, Maria L · 2004
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An exact distribution-free test comparing two multivariate distributions based on adjacency
Rosenbaum, Paul R · 2005
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Testing statistical hypotheses
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Approximation theorems of mathematical statistics , volume 162
Serfling, Robert J · 2009
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Normal approximation by Stein’s method
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The distance correlation t-test of independence in high dimension
Székely, G.J. and Rizzo, M.L · 2010
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A more powerful two-sample test in high dimensions using random projection
Lopes, M.E., Jacob, L., and Wainwright, M.J · 2011
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A kernel two-sample test
Gretton, A., Borgwardt, K., Rasch, M., Schoelkopf, B., and Smola, A · 2012
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Distance covariance in metric spaces
Lyons, R · 2013
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Equivalence of distance-based and RKHS-based statistics in hypothesis testing
Sejdinovic, D., Sriperumbudur, B., Gretton, A., Fukumizu, K., et al · 2013
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Two-sample test of high dimensional means under dependence
Cai, Tony, Liu, Weidong, and Xia, Yin · 2014
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A two-sample test for high-dimensional data with applications to gene-set testing
Chen, Song Xi and Qin, Ying-Li · 2010
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Kernel MMD, the median heuristic and distance correlation in high dimensions
Reddi, Sashank J., Ramdas, Aaditya, Póczos, Barnabás, Singh, Aarti, and Wasserman, Larry A · 2083
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