Inference for conditioned Galton-Watson trees from their Harris path
AZAÏS, Romain
Simulation et Analyse de la morphogenèse in siliCo [MOSAIC]
Reproduction et développement des plantes [RDP]
Simulation et Analyse de la morphogenèse in siliCo [MOSAIC]
Reproduction et développement des plantes [RDP]
GENADOT, Alexandre
Quality control and dynamic reliability [CQFD]
Institut de Mathématiques de Bordeaux [IMB]
Quality control and dynamic reliability [CQFD]
Institut de Mathématiques de Bordeaux [IMB]
AZAÏS, Romain
Simulation et Analyse de la morphogenèse in siliCo [MOSAIC]
Reproduction et développement des plantes [RDP]
Simulation et Analyse de la morphogenèse in siliCo [MOSAIC]
Reproduction et développement des plantes [RDP]
GENADOT, Alexandre
Quality control and dynamic reliability [CQFD]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Quality control and dynamic reliability [CQFD]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
ALEA : Latin American Journal of Probability and Mathematical Statistics. 2019, vol. 16, n° 1, p. 1-45
Instituto Nacional de Matemática Pura e Aplicada (Rio de Janeiro, Brasil) [2006-....]
English Abstract
Tree-structured data naturally appear in various fields, particularly in biology where plants and blood vessels may be described by trees, but also in computer science because XML documents form a tree structure. This paper ...Read more >
Tree-structured data naturally appear in various fields, particularly in biology where plants and blood vessels may be described by trees, but also in computer science because XML documents form a tree structure. This paper is devoted to the estimation of the relative scale parameter of conditioned Galton-Watson trees. New estimators are introduced and their consistency is stated. A comparison is made with an existing approach of the literature. A simulation study shows the good behavior of our procedure on finite-sample sizes and from missing or noisy data. An application to the analysis of revisions of Wikipedia articles is also considered through real data.Read less <
Keywords
Parametric estimation
XML files
English Keywords
Galton-Watson tree
Harris path
Brownian excursion
Real tree data
Wikipedia
Origin
Hal imported