Representation insensitivity in immediate prediction under exchangeability

DOI10.1016/j.ijar.2008.03.010zbMath1221.60053OpenAlexW2137417388MaRDI QIDQ962847

B. E. Eshmatov

Publication date: 7 April 2010

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

Full work available at URL: https://biblio.ugent.be/publication/497890

zbMATH Keywords

coherenceexchangeabilityimprecise probabilitiespredictive inferencelower previsionimmediate predictionimprecise Dirichlet-multinomial model (IDMM)Johnson's sufficiency postulaterepresentation insensitivityrepresentation invariance principlerule of succession

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Foundations of probability theory (60A99) Prediction theory (aspects of stochastic processes) (60G25) Nonparametric inference (62G99) Exchangeability for stochastic processes (60G09)

Related Items (10)

A survey of some recent results on spectrum exchangeability in polyadic inductive logic ⋮ Imprecise probabilities for representing ignorance about a parameter ⋮ New prior near-ignorance models on the simplex ⋮ The Bayesian who knew too much ⋮ A nonparametric predictive alternative to the imprecise Dirichlet model: the case of a known number of categories ⋮ Representation theorems for probability functions satisfying spectrum exchangeability in inductive logic ⋮ Imprecise probability models for learning multinomial distributions from data. Applications to learning credal networks ⋮ Rejoinder on ``Imprecise probability models for learning multinomial distributions from data. applications to learning credal networks ⋮ Imprecise Dirichlet process with application to the hypothesis test on the probability that \(X \leq Y\) ⋮ Predictive Inference Under Exchangeability, and the Imprecise Dirichlet Multinomial Model

Cites Work

• Updating beliefs with incomplete observations
• Notes on conditional previsions
• W. E. Johnson's sufficientness postulate
• Measures of uncertainty in expert systems
• A unifying approach to integration for bounded positive charges
• Marginal extension in the theory of coherent lower previsions
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