Extremes on Trees
| dc.creator | Hsing, Tailen | |
| dc.creator | Rootzen, Holger | |
| dc.date | 2005-03-25 | |
| dc.date.accessioned | 2026-07-07T05:18:30Z | |
| dc.date.available | 2026-07-07T05:18:30Z | |
| dc.description | This paper considers the asymptotic distribution of the longest edge of the minimal spanning tree and nearest neighbor graph on X_1,...,X_{N_n} where X_1,X_2,... are i.i.d. in \Re^2 with distribution F and N_n is independent of the X_i and satisfies N_n/n\to_p1. A new approach based on spatial blocking and a locally orthogonal coordinate system is developed to treat cases for which F has unbounded support. The general results are applied to a number of special cases, including elliptically contoured distributions, distributions with independent Weibull-like margins and distributions with parallel level curves. | |
| dc.description | Published at http://dx.doi.org/10.1214/009117904000001008 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0503603 | |
| dc.identifier | http://arxiv.org/abs/math/0503603 | |
| dc.identifier | Annals of Probability 2005, Vol. 33, No. 1, 413-444 | |
| dc.identifier | doi:10.1214/009117904000001008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74681 | |
| dc.subject | Probability | |
| dc.subject | 60D05, 60F05 (Primary) | |
| dc.title | Extremes on Trees | |
| dc.type | text |