Symmetric and centered binomial approximation of sums of locally dependent random variables
| dc.creator | Röllin, Adrian | |
| dc.date | 2006-08-05 | |
| dc.date.accessioned | 2026-07-07T07:21:26Z | |
| dc.date.available | 2026-07-07T07:21:26Z | |
| dc.description | Stein's method is used to approximate sums of discrete and locally dependent random variables by a centered and symmetric Binomial distribution. Under appropriate smoothness properties of the summands, the same order of accuracy as in the Berry-Essen Theorem is achieved. The approximation of the total number of points of a point processes is also considered. The results are applied to the exceedances of the $r$-scans process and to the Matérn hardcore point process type I. | |
| dc.identifier | https://arxiv.org/abs/math/0608138 | |
| dc.identifier | http://arxiv.org/abs/math/0608138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115300 | |
| dc.subject | Probability | |
| dc.subject | 60F05 | |
| dc.title | Symmetric and centered binomial approximation of sums of locally dependent random variables | |
| dc.type | text |