A Property of Independency Relations Induced by Probabilistic Distributions with Binary Variables
Azaria Paz
Abstract
Azaria Paz
Abstract
The relationship between graphoid independency relations (defined in the text) and such relations induced by Probabilistic Distributions (PD) with binary random variables is investigated. It is shown that there are axioms that are sound for a subset of PD-induced relations with binary variables and are independent of the Graphoid axioms (cannot be logically derived from those axioms).
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The relationship between graphoid independency relations (defined in the text) and such relations induced by Probabilistic Distributions (PD) with binary random variables is investigated. It is shown that there are axioms that are sound for a subset of PD-induced relations with binary variables and are independent of the Graphoid axioms (cannot be logically derived from those axioms).
Key concepts: Axiom, Binary relation, Probabilistic logic, Binary number, Property (philosophy), Random variable, Mathematics, Binary operation