A Bayesian analysis of tree-structured statistical decision problems

DOI10.1016/0378-3758(95)00112-3zbMath0854.62006OpenAlexW2018752234MaRDI QIDQ1923426

Samuel Y. III Dennis

Publication date: 14 January 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(95)00112-3

zbMATH Keywords

myocardial infarctioncompound Bernoulli experimentsDirichlet type 1 distributionhyper-compound multinomial distributionhyper-Dirichlet type 1 distributionhyper-Liouville distributionsequences of independent subexperimentstree-structured decision model

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Bayesian problems; characterization of Bayes procedures (62C10) Foundations and philosophical topics in statistics (62A01)

Related Items (5)

A Dirichlet-Tree Multinomial Regression Model for Associating Dietary Nutrients with Gut Microorganisms ⋮ Bayesian Graphical Compositional Regression for Microbiome Data ⋮ On a class of distributions on the simplex ⋮ Bayes estimators of ratios of proportions between tree-structured experiments ⋮ A Bayesian analysis of ratios of proportions in tree-structured experiments

Uses Software

• Mathematica

Cites Work

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• On the hyper-dirichlet type 1 and hyper-liouville distributions
• On the distribution of products of independent beta variates
• The Distribution of Products of Independent Random Variables

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