On the exponential approximation of a family of probability measures and a representation theorem of Hájek-Inagaki
✍ Scribed by G. G. Roussas; A. Soms
- Publisher
- Springer Japan
- Year
- 1973
- Tongue
- English
- Weight
- 586 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0020-3157
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In this paper we give equivalent conditions on the central limit theorem in total variation norm for a sequence of probability measures on ~. This generalizes Cacoullos, Papathanasiou and Utev's central limit theorem in Lt-norm for a sequence of probability density functions on R. We also give equiv
## 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. (© 2007 WILEY‐VCH