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)
“The early Christian rules of life were not made to last, because the early Christians did not believe that the world itself was going to last.”
—George Bernard Shaw (18561950)
“Conditional love is love that is turned off and on....Some parents only show their love after a child has done something that pleases them. I love you, honey, for cleaning your room! Children who think they need to earn love become people pleasers, or perfectionists. Those who are raised on conditional love never really feel loved.”
—Louise Hart (20th century)
“The [nineteenth-century] young men who were Puritans in politics were anti-Puritans in literature. They were willing to die for the independence of Poland or the Manchester Fenians; and they relaxed their tension by voluptuous reading in Swinburne.”
—Rebecca West (18921983)