An introduction to the imprecise Dirichlet model for multinomial data

DOI10.1016/j.ijar.2004.10.002zbMath1066.62003OpenAlexW2012097495MaRDI QIDQ2386113

Jean-Marc Bernard

Publication date: 22 August 2005

Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijar.2004.10.002

zbMATH Keywords

Dirichlet distributionBayesian inferencecontingency tablesIDMFrequentist inferenceLower and upper probabilitiesPredictive inferencePrior ignorance

Mathematics Subject Classification ID

Bayesian inference (62F15) Foundations and philosophical topics in statistics (62A01)

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Cites Work

• Building classification trees using the total uncertainty criterion
• Robust inference of trees
• The naive credal classifier
• Reconciling frequentist properties with the likelihood principle
• Implicative analysis for multivariate binary data using an imprecise Dirichlet model
• A Single General Method for the Analysis of Cross-Classified Data: Reconciliation and Synthesis of Some Methods of Pearson, Yule, and Fisher, and Also Some Methods of Correspondence Analysis and Association Analysis
• The Selection of Prior Distributions by Formal Rules
• Concepts of Independence for Proportions with a Generalization of the Dirichlet Distribution
• A Bayesian Study of the Multinomial Distribution
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