Rules of Conditional Independence
A set of rules governing statements of conditional independence have been derived from the basic definition.
Note: since these implications hold for any probability space, they will still hold if considers a sub-universe by conditioning everything on another variable, say K. For example, would also mean that .
Note: below, the comma can be read as an "AND".
Read more about this topic: Conditional Independence
Famous quotes containing the words rules of, rules, conditional and/or independence:
“In really hard times the rules of the game are altered. The inchoate mass begins to stir. It becomes potent, and when it strikes,... it strikes with incredible emphasis. Those are the rare occasions when a national will emerges from the scattered, specialized, or indifferent blocs of voters who ordinarily elect the politicians. Those are for good or evil the great occasions in a nation’s history.”
—Walter Lippmann (1889–1974)
“This was Pharaoh, direct descendent of our deity Amon, god of the sun, who rules the heavens as Pharaoh rules the earth. Again, he brought treasure, gold, and precious jewels taken from our enemies. For to Pharaoh riches were power and power was to be desired. And also again he brought many captives. For is it not by slaves that one becomes even richer and then has even more power?”
—William Faulkner (1897–1962)
“Computer mediation seems to bathe action in a more conditional light: perhaps it happened; perhaps it didn’t. Without the layered richness of direct sensory engagement, the symbolic medium seems thin, flat, and fragile.”
—Shoshana Zuboff (b. 1951)
“In England the judges should have independence to protect the people against the crown. Here the judges should not be independent of the people, but be appointed for not more than seven years. The people would always re-elect the good judges.”
—Andrew Jackson (1767–1845)