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math.ST2025
Flatness of location-scale-shape models under the Wasserstein metric
Ayumu Fukushi, Yoshinori Nakanishi-Ohno, Takeru Matsuda
In Wasserstein geometry, one-dimensional location-scale models are flat both intrinsically and extrinsically-that is, they are curvature-free as well as totally geodesic in the spa…
math.ST2025
Wasserstein projection estimators for circular distributions
Naoki Otani, Takeru Matsuda
For statistical models on circles, we investigate performance of estimators defined as the projections of the empirical distribution with respect to the Wasserstein distance. We de…
math.ST2025
On the attainment of the Wasserstein--Cramer--Rao lower bound
Hayato Nishimori, Takeru Matsuda
Recently, a Wasserstein analogue of the Cramer--Rao inequality has been developed using the Wasserstein information matrix (Otto metric). This inequality provides a lower bound on…