Asymptotic distribution and detection thresholds for two-sample tests based on geometric graphs
Asymptotic distribution and detection thresholds for two-sample tests based on geometric graphs
In this paper, we consider the problem of testing the equality of two multivariate distributions based on geometric graphs constructed using the interpoint distances between the observations. These include the tests based on the minimum spanning tree and the $K$-nearest neighbor (NN) graphs, among others. These tests are asymptotically distribution-free, …