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)
“There is no country in which so absolute a homage is paid to wealth. In America there is a touch of shame when a man exhibits the evidences of large property, as if after all it needed apology. But the Englishman has pure pride in his wealth, and esteems it a final certificate. A coarse logic rules throughout all English souls: if you have merit, can you not show it by your good clothes and coach and horses?”
—Ralph Waldo Emerson (18031882)
“The population of the world is a conditional population; these are not the best, but the best that could live in the existing state of soils, gases, animals, and morals: the best that could yet live; there shall be a better, please God.”
—Ralph Waldo Emerson (18031882)
“The subject of the novel is reality liberated from soul. The reader in complete independence presented with a structured process: let him evaluate it, not the author. The façade of the novel cannot be other than stone or steel, flashing electrically or dark, but silent.”
—Alfred Döblin (18781957)