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The intrinsic geometry of a space of distributions is represented by means of an embedding in Hilbert space, which has been previously studied.
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A. P. Dawid (Tue,) studied this question.
synapsesocial.com/papers/6a1ea755e5c5a32e9d9a69c3 — DOI: https://doi.org/10.1214/aos/1176344011
A. P. Dawid
University of Cambridge
The Annals of Statistics
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