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:
“Each person calls barbarism whatever is not his or her own practice.... We may call Cannibals barbarians, in respect to the rules of reason, but not in respect to ourselves, who surpass them in every kind of barbarity.”
—Michel de Montaigne (15331592)
“I invented the colors of the vowels!A black, E white, I red, O blue, U greenI made rules for the form and movement of each consonant, and, and with instinctive rhythms, I flattered myself that I had created a poetic language accessible, some day, to all the senses.”
—Arthur Rimbaud (18541891)
“Computer mediation seems to bathe action in a more conditional light: perhaps it happened; perhaps it didnt. Without the layered richness of direct sensory engagement, the symbolic medium seems thin, flat, and fragile.”
—Shoshana Zuboff (b. 1951)
“Traditionally in American society, men have been trained for both competition and teamwork through sports, while women have been reared to merge their welfare with that of the family, with fewer opportunities for either independence or other team identifications, and fewer challenges to direct competition. In effect, women have been circumscribed within that unit where the benefit of one is most easily believed to be the benefit of all.”
—Mary Catherine Bateson (b. 1939)