Root estimation in Galton-Watson trees
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866916312214667264 |
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| author | Brandenberger, Anna M. Devroye, Luc Goh, Marcel K. |
| author_facet | Brandenberger, Anna M. Devroye, Luc Goh, Marcel K. |
| contents | Given only the free-tree structure of a tree, the root estimation problem asks if one can guess which of the free tree's nodes is the root of the original tree. We determine the maximum-likelihood estimator for the root of a free tree when the underlying tree is a size-conditioned Galton-Watson tree and calculate its probability of being correct. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_05681 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Root estimation in Galton-Watson trees Brandenberger, Anna M. Devroye, Luc Goh, Marcel K. Probability Given only the free-tree structure of a tree, the root estimation problem asks if one can guess which of the free tree's nodes is the root of the original tree. We determine the maximum-likelihood estimator for the root of a free tree when the underlying tree is a size-conditioned Galton-Watson tree and calculate its probability of being correct. |
| title | Root estimation in Galton-Watson trees |
| topic | Probability |
| url | https://arxiv.org/abs/2007.05681 |