标题： 条件Galton-Watson树的Harris路径推断 显示英文标题

标题： Inference for conditioned Galton-Watson trees from their Harris path

摘要： 树状结构的数据自然出现在各个领域，特别是在生物学中，植物和血管可以用树来描述，但同样也在计算机科学中，因为XML文档形成了一种树状结构。 本文致力于条件Galton-Watson树的相对尺度参数估计。 引入了新的估计器，并陈述了它们的一致性。 与文献中的现有方法进行了比较。 模拟研究表明，我们的方法在有限样本大小以及缺失或噪声数据的情况下表现良好。 通过真实数据还考虑了对维基百科文章修订分析的应用。 显示英文摘要

摘要： 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.