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Robustness of statistical models - MaRDI portal

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Robustness of statistical models

From MaRDI portal
Publication:6380100

DOI10.1016/J.TOPOL.2023.108438arXiv2110.06145MaRDI QIDQ6380100

Author name not available (Why is that?)

Publication date: 12 October 2021

Abstract: A statistical structure (g,T) on a smooth manifold M induced by (ildeM,ildeg,ildeT) is said to be {em robust} if there exists an open neighborhood of (g,T) in the fine Cinfty-topology consisting of statistical structures induced by (ildeM,ildeg,ildeT). Using Nash--Gromov implicit function theorem, we show robustness of the generic statistical structure induced on M by the standard linear statistical structure on RN, for N sufficiently large.





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