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Absolute Continuity and Singularity of Two Probability Measures on a Filtered Space

✍ Scribed by S. S. Gabriyelyan


Publisher
Springer US
Year
2011
Tongue
English
Weight
699 KB
Volume
24
Category
Article
ISSN
0894-9840

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A note on the Poisson structures of the
✍ Yuichi Shishido πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 107 KB πŸ‘ 1 views

## Abstract The space of probability measures on a Riemannian manifold is endowed with the Fisher information metric. In [4] T. Friedrich showed that this space admits also Poisson structures {, }. In this note, we give directly another proof for the structure {, } being Poisson. (Β© 2007 WILEY‐VCH