Non-Gaussian Chi-squared method with the multivariate Edgeworth expansion
| dc.creator | Amendola, Luca | |
| dc.date | 1998-10-13 | |
| dc.date.accessioned | 2026-07-07T02:28:22Z | |
| dc.date.available | 2026-07-07T02:28:22Z | |
| dc.description | I present here a generalization of the maximum likelihood method and the $χ^2$ method to the cases in which the data are {\it not} assumed to be Gaussian distributed. The method, based on the multivariate Edgeworth expansion, can find several astrophysical applications. I mention only two of them. First, in the microwave background analysis, where it cannot be excluded that the initial perturbations are non-Gaussian. Second, in the large scale structure statistics, as we already know that the galaxy distribution deviates from Gaussianity on the scales at which non-linearity is important. As a first interesting result I show here how the confidence regions are modified when non-Gaussianity is taken into account. | |
| dc.description | 7 pages, 2 figures. This is a paper published in 1996 in the proceedings of an Italian meeting. Since the proceedings are hard to find, and I got some requests for this work, I decided to put it on the web, in its original form (updating the references) | |
| dc.identifier | https://arxiv.org/abs/astro-ph/9810198 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/9810198 | |
| dc.identifier | Astro. Lett. and Communications, 1996, 33, 63 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/13094 | |
| dc.subject | Astrophysics | |
| dc.title | Non-Gaussian Chi-squared method with the multivariate Edgeworth expansion | |
| dc.type | text |