A new understanding of subjective probability and its generalization to lower and upper prevision.

DOI10.1016/S0888-613X(02)00134-2zbMath1092.68098MaRDI QIDQ1400220

Peter R. Gillett, Richard B. Scherl, Glenn R. Shafer

Publication date: 13 August 2003

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

zbMATH Keywords

subjective probabilityCournot's principle

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37) Axioms; other general questions in probability (60A05) Probabilistic games; gambling (91A60)

Related Items

Uncertainty modelling and conditioning with convex imprecise previsions, Imprecise probability trees: bridging two theories of imprecise probability, Computing upper and lower bounds in interval decision trees, Credal networks under epistemic irrelevance, A probabilistic logic based on the acceptability of gambles, Desirability foundations of robust rational decision making, Conditioning, updating and lower probability zero, A logical characterization of coherence for imprecise probabilities, Probability and time, Forward irrelevance, Williams coherence and beyond, A betting interpretation for probabilities and Dempster-Shafer degrees of belief, A survey of the theory of coherent lower previsions, Conditional independence and chain event graphs, Ranking discrete outcome alternatives with partially quantified uncertainty, Causal interpretation of graphical models

Uses Software

• BayesDA

Cites Work

• A probabilistic logic based on the acceptability of gambles
• Notes on conditional previsions
• Bayes's two arguments for the rule of conditioning
• The logic of events
• Towards a unified theory of imprecise probability
• Probability and Finance
• CHARACTERIZATION OF COHERENT CONDITIONAL PROBABILITIES AS A TOOL FOR THEIR ASSESSMENT AND EXTENSION
• Present Position and Potential Developments: Some Personal Views: Statistical Theory: The Prequential Approach
• Conditional Probability
• Belief functions in business decisions
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