The matrix-F prior for estimating and testing covariance matrices
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Publication:1631604
DOI10.1214/17-BA1092zbMath1407.62080OpenAlexW2782670000WikidataQ63362814 ScholiaQ63362814MaRDI QIDQ1631604
Joris Mulder, Luís Raúl Pericchi
Publication date: 6 December 2018
Published in: Bayesian Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ba/1515747744
covariance matrixgeneralized linear mixed modelsintrinsic priormultivariate normal distributionhierarchical modelshorsehoe priormatrix-variate F distributiontesting inequality constraints
Multivariate distribution of statistics (62H10) Estimation in multivariate analysis (62H12) Bayesian inference (62F15) Generalized linear models (logistic models) (62J12)
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Cites Work
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- Bayes factors for testing order-constrained hypotheses on correlations
- Automatic Bayes factors for testing variances of two independent normal distributions
- Fully Bayes factors with a generalized \(g\)-prior
- Simple marginally noninformative prior distributions for covariance matrices
- The scaled beta2 distribution as a robust prior for scales
- A pathway to matrix-variate gamma and normal densities
- Choice of hierarchical priors: Admissibility in estimation of normal means
- Training samples in objective Bayesian model selection.
- An exploration of aspects of Bayesian multiple testing
- On the half-Cauchy prior for a global scale parameter
- Equality and inequality constrained multivariate linear models: objective model selection using constrained posterior priors
- Bayes factor consistency for unbalanced ANOVA models
- Asymptotic properties of anoya bayes factors
- The Intrinsic Bayes Factor for Model Selection and Prediction
- Mixtures of g Priors for Bayesian Variable Selection
- Some matrix-variate distribution theory: Notational considerations and a Bayesian application
- Expected-posterior prior distributions for model selection
- An Intrinsic Limiting Procedure for Model Selection and Hypotheses Testing
- Default Bayes Factors for Nonnested Hypothesis Testing
- Reference Bayesian Methods for Generalized Linear Mixed Models
- Bayes factors for testing inequality constrained hypotheses: Issues with prior specification
- Intrinsic Priors for Objective Bayesian Model Selection
- Multivariate Beta Distributions and Independence Properties of the Wishart Distribution
- Domain-Level Covariance Analysis for Multilevel Survey Data With Structured Nonresponse
- Fixed and Random Effects Selection in Linear and Logistic Models
- Note on the Multivariate and the Generalized Multivariate Beta Distributions
- The case for objective Bayesian analysis
- A comparison of Bayesian and likelihood-based methods for fitting multilevel models
- Prior distributions for variance parameters in hierarchical models (Comment on article by Browne and Draper)
- A default conjugate prior for variance components in generalized linear mixed models (Comment on article by Browne and Draper)