Inference for conditioned Galton-Watson trees from their Harris path

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 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.
Type de document :
Pré-publication, Document de travail
2018
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https://hal.archives-ouvertes.fr/hal-01360650
Contributeur : Romain Azaïs <>
Soumis le : jeudi 1 novembre 2018 - 20:47:51
Dernière modification le : mercredi 14 novembre 2018 - 01:17:37

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  • HAL Id : hal-01360650, version 3
  • ARXIV : 1609.01057

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Citation

Romain Azaïs, Alexandre Genadot, Benoît Henry. Inference for conditioned Galton-Watson trees from their Harris path. 2018. 〈hal-01360650v3〉

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