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:
“... geometry became a symbol for human relations, except that it was better, because in geometry things never go bad. If certain things occur, if certain lines meet, an angle is born. You cannot fail. Its not going to fail; it is eternal. I found in rules of mathematics a peace and a trust that I could not place in human beings. This sublimation was total and remained total. Thus, Im able to avoid or manipulate or process pain.”
—Louise Bourgeois (b. 1911)
“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)
“... were not out to benefit society, to remold existence, to make industry safe for anyone except ourselves, to give any small peoples except ourselves their rights. Were not out for submerged tenths, were not going to suffer over how the other half lives. Were out for Marys job and Luellas art, and Barbaras independence and the rest of our individual careers and desires.”
—Anne OHagan (1869?)