
On the Intersection Property of Conditional Independence and its Application to Causal Discovery
This work investigates the intersection property of conditional independ...
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On Finite Exchangeability and Conditional Independence
We study the independence structure of finitely exchangeable distributio...
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Conditional probability in Renyi spaces
In 1933 Kolmogorov constructed a general theory that defines the modern ...
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Qualitative Robust Bayesianism and the Likelihood Principle
We argue that the likelihood principle (LP) and weak law of likelihood (...
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Singularity for bifractional and trifractional Brownian motions based on their Hurst indices
We study sufficient conditions which ensure that the probability measure...
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Conditional Independence and Markov Properties in Possibility Theory
Conditional independence and Markov properties are powerful tools allowi...
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Plausibility Measures and Default Reasoning
We introduce a new approach to modeling uncertainty based on plausibilit...
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Generating Graphoids from Generalised Conditional Probability
We take a general approach to uncertainty on product spaces, and give sufficient conditions for the independence structures of uncertainty measures to satisfy graphoid properties. Since these conditions are arguably more intuitive than some of the graphoid properties, they can be viewed as explanations why probability and certain other formalisms generate graphoids. The conditions include a sufficient condition for the Intersection property which can still apply even if there is a strong logical relations hip between the variables. We indicate how these results can be used to produce theories of qualitative conditional probability which are semigraphoids and graphoids.
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