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)
“Unfortunately, we cannot rely solely on employers seeing that it is in their self-interest to change the workplace. Since the benefits of family-friendly policies are long-term, they may not be immediately visible or quantifiable; companies tend to look for success in the bottom line. On a deeper level, we are asking those in power to change the rules by which they themselves succeeded and with which they identify.”
—Anne C. Weisberg (20th century)
“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)
“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 (17671845)