Asymptotic theory with hierarchical autocorrelation: Ornstein-Uhlenbeck tree models

DOI10.1214/13-AOS1105zbMath1267.62092arXiv1306.1322OpenAlexW3101692549WikidataQ60601520 ScholiaQ60601520MaRDI QIDQ355125

Lam Si Tung Ho, Cécile Ané

Publication date: 24 July 2013

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1322

zbMATH Keywords

evolutiondependenceOrnstein-Uhlenbeckphylogeneticsmicroergodictree autocorrelation

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Inference from spatial processes (62M30) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Problems related to evolution (92D15)

Related Items (9)

A consistent estimator of the evolutionary rate ⋮ Necessary and sufficient conditions for consistent root reconstruction in Markov models on trees ⋮ When can we reconstruct the ancestral state? Beyond Brownian motion ⋮ When can we reconstruct the ancestral state? A unified theory ⋮ Adaptive trait evolution in random environment ⋮ Multi-task learning improves ancestral state reconstruction ⋮ Phase transition on the convergence rate of parameter estimation under an Ornstein-Uhlenbeck diffusion on a tree ⋮ Phylogenetic confidence intervals for the optimal trait value ⋮ On the convergence of the maximum likelihood estimator for the transition rate under a 2-state symmetric model

Cites Work

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• Asymptotic properties of a maximum likelihood estimator with data from a Gaussian process
• Analysis of comparative data with hierarchical autocorrelation
• Uniform asymptotic normality of the maximum likelihood estimator
• The coalescent
• Interpolation of spatial data. Some theory for kriging
• Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today.
• Asymptotics for REML estimation of spatial covariance parameters
• The asymptotic distribution of REML estimators
• On the consistent separation of scale and variance for Gaussian random fields
• Maximum likelihood estimation of models for residual covariance in spatial regression
• Towards reconciling two asymptotic frameworks in spatial statistics
• A Moving Average Approach for Spatial Statistical Models of Stream Networks
• Inconsistent Estimation and Asymptotically Equal Interpolations in Model-Based Geostatistics

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