Limit laws of estimators for critical multi-type Galton-Watson processes
| dc.creator | Chi, Zhiyi | |
| dc.date | 2005-03-24 | |
| dc.date.accessioned | 2026-07-07T05:18:23Z | |
| dc.date.available | 2026-07-07T05:18:23Z | |
| dc.description | We consider the asymptotics of various estimators based on a large sample of branching trees from a critical multi-type Galton-Watson process, as the sample size increases to infinity. The asymptotics of additive functions of trees, such as sizes of trees and frequencies of types within trees, a higher-order asymptotic of the ``relative frequency'' estimator of the left eigenvector of the mean matrix, a higher-order joint asymptotic of the maximum likelihood estimators of the offspring probabilities and the consistency of an estimator of the right eigenvector of the mean matrix, are established. | |
| dc.description | Published at http://dx.doi.org/10.1214/105051604000000521 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0503552 | |
| dc.identifier | http://arxiv.org/abs/math/0503552 | |
| dc.identifier | Annals of Applied Probability 2004, Vol. 14, No. 4, 1992-2015 | |
| dc.identifier | doi:10.1214/105051604000000521 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74643 | |
| dc.subject | Probability | |
| dc.subject | 60J80 (Primary) 60F05 (Secondary) | |
| dc.title | Limit laws of estimators for critical multi-type Galton-Watson processes | |
| dc.type | text |