AZAÏS, Romain; GENADOT, Alexandre; HENRY, Benoît

doi:10.30757/ALEA.v16-21

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AZAÏS, Romain
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]

HENRY, Benoît
Ecole nationale supérieure Mines-Télécom Lille Douai [IMT Lille Douai]

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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-....]

Résumé en anglais

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.< Réduire

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Parametric estimation

XML files

Mots clés en anglais

Galton-Watson tree

Harris path

Brownian excursion

Real tree data

Wikipedia

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Inference for conditioned Galton-Watson trees from their Harris path

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