Establishes probabilistic upper bounds of order rho_{q,p,d}(N) for the plug-in estimator of T_p^{(sigma)}(mu, nu) with finite moments q > p, plus a CLT and variance estimator when q > d + 2p and p > 1.
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Two-Sample Inference for Gaussian-Smoothed Wasserstein Costs with Finite Moments
Establishes probabilistic upper bounds of order rho_{q,p,d}(N) for the plug-in estimator of T_p^{(sigma)}(mu, nu) with finite moments q > p, plus a CLT and variance estimator when q > d + 2p and p > 1.