Maximum likelihood degree of variance component models

DOI10.1214/12-EJS702zbMath1281.62159arXiv1111.3308OpenAlexW2090551280WikidataQ57566406 ScholiaQ57566406MaRDI QIDQ1950847

Sonja Petrović, Mathias Drton, Elizabeth Gross

Publication date: 28 May 2013

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3308

zbMATH Keywords

maximum likelihoodanalysis of variancerestricted maximum likelihoodlinear mixed modelvariance component

Mathematics Subject Classification ID

Point estimation (62F10) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (7)

Selecting an augmented random effects model ⋮ A probabilistic algorithm for computing data-discriminants of likelihood equations ⋮ The Maximum Likelihood Degree of Sparse Polynomial Systems ⋮ The Maximum Likelihood Degree of Mixtures of Independence Models ⋮ Linear optimization on varieties and Chern-Mather classes ⋮ A survey of discrete methods in (algebraic) statistics for networks ⋮ Restricted likelihood representation for multivariate heterogeneous random effects models

Uses Software

• faraway

Cites Work

• Linear and generalized linear mixed models and their applications.
• Lectures on algebraic statistics
• Solving the likelihood equations
• Monte Carlo Comparison of ANOVA, MIVQUE, REML, and ML Estimators of Variance Components
• Open Problems in Algebraic Statistics
• Counting and Locating the Solutions of Polynomial Systems of Maximum Likelihood Equations, II: The Behrens-Fisher Problem
• The maximum likelihood degree
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