The topography of multivariate normal mixtures
| dc.creator | Ray, Surajit | |
| dc.creator | Lindsay, Bruce G. | |
| dc.date | 2006-02-11 | |
| dc.date.accessioned | 2026-07-07T08:07:31Z | |
| dc.date.available | 2026-07-07T08:07:31Z | |
| dc.description | Multivariate normal mixtures provide a flexible method of fitting high-dimensional data. It is shown that their topography, in the sense of their key features as a density, can be analyzed rigorously in lower dimensions by use of a ridgeline manifold that contains all critical points, as well as the ridges of the density. A plot of the elevations on the ridgeline shows the key features of the mixed density. In addition, by use of the ridgeline, we uncover a function that determines the number of modes of the mixed density when there are two components being mixed. A followup analysis then gives a curvature function that can be used to prove a set of modality theorems. | |
| dc.description | Published at http://dx.doi.org/10.1214/009053605000000417 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0602238 | |
| dc.identifier | http://arxiv.org/abs/math/0602238 | |
| dc.identifier | Annals of Statistics 2005, Vol. 33, No. 5, 2042-2065 | |
| dc.identifier | doi:10.1214/009053605000000417 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130961 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62E10, 62H05 (Primary) 62H30 (Secondary) | |
| dc.title | The topography of multivariate normal mixtures | |
| dc.type | text |