La geometria delle famiglie di distribuzioni di probabilità esponenziali
We proved four characterisations of the exponential family: the first is an algebrical characterisation as affine space, the second is a geometrical intrinsic characterisation (theorem 1), thirdly there is a geometrical characterisation as immersed manifold (theorem 2) and finally there is a scalar...
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| Format: | Article |
| Language: | English |
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University of Bologna
2007-10-01
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| Series: | Statistica |
| Online Access: | http://rivista-statistica.unibo.it/article/view/410 |
| Summary: | We proved four characterisations of the exponential family: the first is an algebrical characterisation as affine space, the second is a geometrical intrinsic characterisation (theorem 1), thirdly there is a geometrical characterisation as immersed manifold (theorem 2) and finally there is a scalar characterisation (theorem 3). |
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| ISSN: | 0390-590X 1973-2201 |