Develops asymptotic theory for Wasserstein-1 tests of empirical measure convergence in stationary dependent sequences, including known-measure and pairwise unknown-measure versions with plug-in covariance estimation.
Behavior of the wasserstein distance between the empirical and the marginal distributions of stationaryα-dependent sequences.Bernoulli
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Wasserstein-Based Test for Empirical Measure Convergence of Dependent Sequences
Develops asymptotic theory for Wasserstein-1 tests of empirical measure convergence in stationary dependent sequences, including known-measure and pairwise unknown-measure versions with plug-in covariance estimation.