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Fisher Completions and Statistical Regularization of Wrapped Gaussian Families

Cho, Gunhee et al.
arXiv (All) · Papers
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11h0653c23differential-geometrymetric-geometrystatistics-theory
We determine the intrinsic Fisher completion of the full-covariance wrapped Gaussian family on a fixed torus and relate its geometry to uniform estimation. The completion is homeomorphic to the total-variation closure. Every added law is, in suitable integer torus coordinates, a product of a uniform
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