Maximising entropy on the nonparametric predictive inference model for multinomial data

DOI10.1016/j.ejor.2011.01.020zbMath1431.62215OpenAlexW1980686493MaRDI QIDQ421497

Frank P. A. Coolen, Rebecca M. Baker, Joaquín Abellán

Publication date: 14 May 2012

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2011.01.020

zbMATH Keywords

uncertainty measuresimprecise probabilitiesentropy maximizationnonparametric predictive inference

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Reasoning under uncertainty in the context of artificial intelligence (68T37) Measures of information, entropy (94A17) Nonparametric inference (62G99)

Related Items (4)

Classification with decision trees from a nonparametric predictive inference perspective ⋮ Equivalence relations among dominance concepts on probability intervals and general credal sets ⋮ Minimizing the area of a Pareto confidence region ⋮ Nonparametric predictive utility inference

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Building classification trees using the total uncertainty criterion
• A nonparametric predictive alternative to the imprecise Dirichlet model: the case of a known number of categories
• Bayesian and non-Bayesian evidential updating
• Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
• Nonparametric predictive inference and interval probability
• An introduction to the imprecise Dirichlet model for multinomial data
• Uncertainty and Information
• PROBABILITY INTERVALS: A TOOL FOR UNCERTAIN REASONING
• Information Theory and Statistical Mechanics
• Uncertainty measures on probability intervals from the imprecise Dirichlet model
• Application of uncertainty measures on credal sets on the naive Bayesian classifier
• Disaggregated total uncertainty measure for credal sets
• Requirements for total uncertainty measures in Dempster–Shafer theory of evidence
• MEASURING TOTAL UNCERTAINTY IN DEMPSTER-SHAFER THEORY: A NOVEL APPROACH
• ON THE COMPUTATION OF UNCERTAINTY MEASURE IN DEMPSTER-SHAFER THEORY
• AN ALGORITHM TO COMPUTE THE UPPER ENTROPY FOR ORDER-2 CAPACITIES
• Posterior Distribution of Percentiles: Bayes' Theorem for Sampling from a Population
• Upper and Lower Probabilities Induced by a Multivalued Mapping
• MAXIMUM OF ENTROPY FOR CREDAL SETS

This page was built for publication: Maximising entropy on the nonparametric predictive inference model for multinomial data