Parameters estimation for asymmetric bifurcating autoregressive processes with missing data
| hal.structure.identifier | Groupe de Recherche en Economie Théorique et Appliquée [GREThA] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Quality control and dynamic reliability [CQFD] | |
| dc.contributor.author | DE SAPORTA, Benoîte | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Quality control and dynamic reliability [CQFD] | |
| dc.contributor.author | GÉGOUT-PETIT, Anne | |
| hal.structure.identifier | Laboratoire Paul Painlevé - UMR 8524 [LPP] | |
| dc.contributor.author | MARSALLE, Laurence | |
| dc.date.accessioned | 2024-04-04T02:27:58Z | |
| dc.date.available | 2024-04-04T02:27:58Z | |
| dc.date.created | 2010-12-09 | |
| dc.date.issued | 2011 | |
| dc.identifier.issn | 1935-7524 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190060 | |
| dc.description.abstractEn | We estimate the unknown parameters of an asymmetric bifurcating autoregressive process (BAR) when some of the data are missing. In this aim, we model the observed data by a two-type Galton-Watson process consistent with the binary tree structure of the data. Under independence between the process leading to the missing data and the BAR process and suitable assumptions on the driven noise, we establish the strong consistency of our estimators on the set of non-extinction of the Galton-Watson process, via a martingale approach. We also prove a quadratic strong law and the asymptotic normality. | |
| dc.language.iso | en | |
| dc.publisher | Shaker Heights, OH : Institute of Mathematical Statistics | |
| dc.title.en | Parameters estimation for asymmetric bifurcating autoregressive processes with missing data | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1214/11-EJS643 | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.subject.hal | Statistiques [stat]/Théorie [stat.TH] | |
| dc.identifier.arxiv | 1012.2012 | |
| bordeaux.journal | Electronic Journal of Statistics | |
| bordeaux.page | 1313-1353 | |
| bordeaux.volume | 5 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00545447 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00545447v1 | |
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