Inverting random functions

DOI10.1007/BF01609880zbMath0966.92018OpenAlexW2050932486MaRDI QIDQ1306749

Mike A. Steel, László A. Székely

Publication date: 16 August 2001

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01609880

zbMATH Keywords

maximum likelihood estimationrandom functionsphylogeny reconstruction

Mathematics Subject Classification ID

Problems related to evolution (92D15) Minimax procedures in statistical decision theory (62C20) Minimax problems in mathematical programming (90C47) Optimality conditions and duality in mathematical programming (90C46)

Related Items (11)

Phylogenetic information complexity: is testing a tree easier than finding it? ⋮ A comparison of ancestral state reconstruction methods for quantitative characters ⋮ Statistics for phylogenetic trees ⋮ Necessary and sufficient conditions for consistent root reconstruction in Markov models on trees ⋮ Reconstructing pedigrees: a combinatorial perspective ⋮ Alignment-free phylogenetic reconstruction: Sample complexity via a branching process analysis ⋮ A phase transition for a random cluster model on phylogenetic trees. ⋮ Inverting random functions. III: Discrete MLE revisited ⋮ Efficient estimation of the accuracy of the maximum likelihood method for ancestral state reconstruction ⋮ Teasing Apart Two Trees ⋮ Large-Scale Multiple Sequence Alignment and Phylogeny Estimation

Uses Software

• fastDNAml

Cites Work

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• Statistical decision theory and Bayesian analysis. 2nd ed
• Taxonomy with confidence
• Reconstructing phylogenies from nucleotide pattern probabilities: A survey and some new results
• A few logs suffice to build (almost) all trees. II
• Evolutionary Trees Can be Learned in Polynomial Time in the Two-State General Markov Model
• Biological Sequence Analysis
• A few logs suffice to build (almost) all trees (I)
• Estimation of evolutionary distances between homologous nucleotide sequences.
• The probabilities of rooted tree-shapes generated by random bifurcation

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