Newton, Michael A. Bootstrapping phylogenies: Large deviations and dispersion effects. (English) Zbl 0864.62077 Biometrika 83, No. 2, 315-328 (1996). Summary: A large deviation result is established for the bootstrap empirical distribution in a finite sample space, thereby validating both nonparametric and parametric bootstrapping in certain phylogenetic inference problems. The bias previously observed in the bootstrap distribution of the estimated tree topology is shown to stem from dispersion effects in the joint distribution of sample and bootstrap empirical distributions. Both results are examined for maximum likelihood estimation in a three-taxon model having particularly simple geometry. They are also applicable to discrete parameter problems outside of phylogenetic inference. Cited in 6 Documents MSC: 62P10 Applications of statistics to biology and medical sciences; meta analysis 92D15 Problems related to evolution 60F10 Large deviations 62G09 Nonparametric statistical resampling methods Keywords:bias; cladistics; discrete parameter space; DNA; entropy; molecular evolution; relative entropy; systematics; phylogenetic inference; estimated tree topology; dispersion effects; bootstrap empirical distributions; maximum likelihood estimation; three-taxon model PDFBibTeX XMLCite \textit{M. A. Newton}, Biometrika 83, No. 2, 315--328 (1996; Zbl 0864.62077) Full Text: DOI Link