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Nonparametric two sample or homogeneity testing is a decision theoretic problem that involves identifying differences between two random variables without making parametric assumptions about their underlying distributions.
On the composition of elementary errors: First paper: Mathematical deductions
Harald Cramér · 1928
Earlier work this paper cites.
Wahrscheinlichkeit statistik und wahrheit
Richard Von Mises · 1928
Earlier work this paper cites.
Uber die umkehrung der naturgesetze
E. Schrodinger · 1931
Earlier work this paper cites.
Sulla determinazione empirica di una legge di distribuzione
Andrej N Kolmogorov · 1933
Earlier work this paper cites.
On a test whether two samples are from the same population
Abraham Wald and Jacob Wolfowitz · 1940
Earlier work this paper cites.
Table for estimating the goodness of fit of empirical distributions
Nickolay Smirnov · 1948
Earlier work this paper cites.
Asymptotic theory of certain goodness of fit criteria based on stochastic processes
Theodore W Anderson and Donald A Darling · 1952
Earlier work this paper cites.
Diagonal equivalence to matrices with prescribed row and column sums
Richard Sinkhorn · 1967
Earlier work this paper cites.
Convergence of probability measures
Patrick Billingsley · 1968
Earlier work this paper cites.
The speed of mean Glivenko-Cantelli convergence
R. M. Dudley · 1968
Earlier work this paper cites.
A distribution free version of the smirnov two sample test in the p-variate case
Peter J Bickel · 1969
Earlier work this paper cites.
Prescribing a system of random variables by conditional distributions
Roland L Dobrushin · 1970
Earlier work this paper cites.
A note on asymptotic joint normality
CL Mallows · 1972
Earlier work this paper cites.
An approximation of partial sums of independent RV’s, and the sample DF. II
J. Komlós, P. Major, and G. Tusnády · 1976
Earlier work this paper cites.
Multivariate generalizations of the wald-wolfowitz and smirnov two-sample tests
Jerome H Friedman and Lawrence C Rafsky · 1979
Earlier work this paper cites.
Some asymptotic theory for the bootstrap
Peter J Bickel and David A Freedman · 1981
Earlier work this paper cites.
On optimal matchings
M. Ajtai, J. Komlós, and G. Tusnády · 1984
Cited alongside, same era.
Multivariate two-sample tests based on nearest neighbors
Mark F Schilling · 1986
Cited alongside, same era.
Empirical processes with applications to statistics
Galen R. Shorack and Jon A. Wellner · 1986
Cited alongside, same era.
A multivariate two-sample test based on the number of nearest neighbor type coincidences
Norbert Henze · 1988
Cited alongside, same era.
On the scaling of multidimensional matrices
Joel Franklin and Jens Lorenz · 1989
Cited alongside, same era.
Tight bounds for minimax grid matching with applications to the average case analysis of algorithms
T. Leighton and P. Shor · 1989
Cited alongside, same era.
Asymptotics for l2 functionals of the empirical quantile process, with applications to tests of fit based on weighted wasserstein distances
Eustasio del Barrio, Evarist Giné, Frederic Utzet, et al · 2005
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An exact distribution-free test comparing two multivariate distributions based on adjacency
Paul R Rosenbaum · 2005
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A kernel method for the two-sample-problem
Arthur Gretton, Karsten M Borgwardt, Malte Rasch, Bernhard Schölkopf, and Alex J Smola · 2006
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Nonparametrics: statistical methods based on ranks
Erich Leo Lehmann and Howard JM D’Abrera · 2006
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A nonparametric test for similarity of marginals?with applications to the assessment of population bioequivalence
Gudrun Freitag, Claudia Czado, and Axel Munk · 2007
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Minimax grid matching and empirical measures
P. W. Shor and J. E. Yukich · 1991
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Nonparametric and semiparametric estimation of the receiver operating characteristic curve
Fushing Hsieh and Bruce W. Turnbull · 1996
Cited alongside, same era.
Nonparametric and semiparametric estimation of the receiver operating characteristic curve
Fushing Hsieh, Bruce W Turnbull, et al · 1996
Cited alongside, same era.
Introduction to linear optimization
D. Bertsimas and J.N. Tsitsiklis · 1997
Cited alongside, same era.
Nonparametric validation of similar distributions and assessment of goodness of fit
Axel Munk and Claudia Czado · 1998
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Tests of goodness of fit based on the l _ 2 l\_2 -wasserstein distance
Eustasio del Barrio, Juan A Cuesta-Albertos, Carlos Matrán, et al · 1999
Cited alongside, same era.
Pedro César Álvarez-Esteban, Eustasio Del Barrio, Juan Antonio Cuesta-Albertos, and Carlos Matran · 2008
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A test for the two-sample problem based on empirical characteristic functions
V Alba Fernández, MD Jiménez Gamero, and J Muñoz García · 2008
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Optimal transport: old and new , volume 338
C. Villani · 2009
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Comparing distributions
Olivier Thas · 2010
Later among the works it cites.
Similarity of samples and trimming
Pedro C Álvarez-Esteban, Eustasio Del Barrio, Juan A Cuesta-Albertos, Carlos Matrán, et al · 2012
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A kernel two-sample test
A. Gretton, K. Borgwardt, M. Rasch, B. Schoelkopf, and A. Smola · 2012
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Sinkhorn distances: Lightspeed computation of optimal transport
M. Cuturi · 2013
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Distance covariance in metric spaces
R. Lyons · 2013
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Equivalence of distance-based and RKHS-based statistics in hypothesis testing
D. Sejdinovic, B. Sriperumbudur, A. Gretton, K. Fukumizu, et al · 2013
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On the rate of convergence of empirical measures in ∞ \infty -transportation distance
Nicolás García and Dejan Slepčev · 2014
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