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:
“Under the rules of a society that cannot distinguish between profit and profiteering, between money defined as necessity and money defined as luxury, murder is occasionally obligatory and always permissible.”
—Lewis H. Lapham (b. 1935)
“... 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)
“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)
“... 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?)