Symmetric measures via moments
| dc.creator | Koloydenko, Alexey | |
| dc.date | 2004-06-09 | |
| dc.date | 2008-05-14 | |
| dc.date.accessioned | 2026-07-07T09:39:28Z | |
| dc.date.available | 2026-07-07T09:39:28Z | |
| dc.description | Algebraic tools in statistics have recently been receiving special attention and a number of interactions between algebraic geometry and computational statistics have been rapidly developing. This paper presents another such connection, namely, one between probabilistic models invariant under a finite group of (non-singular) linear transformations and polynomials invariant under the same group. Two specific aspects of the connection are discussed: generalization of the (uniqueness part of the multivariate) problem of moments and log-linear, or toric, modeling by expansion of invariant terms. A distribution of minuscule subimages extracted from a large database of natural images is analyzed to illustrate the above concepts. | |
| dc.description | Published in at http://dx.doi.org/10.3150/07-BEJ6144 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm) | |
| dc.identifier | https://arxiv.org/abs/math/0406173 | |
| dc.identifier | http://arxiv.org/abs/math/0406173 | |
| dc.identifier | Bernoulli 2008, Vol. 14, No. 2, 362-390 | |
| dc.identifier | doi:10.3150/07-BEJ6144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161180 | |
| dc.subject | Probability | |
| dc.subject | Statistics Theory | |
| dc.title | Symmetric measures via moments | |
| dc.type | text |