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:
“Trust men, and they will be true to you; treat them greatly, and they will show themselves great, though they make an exception in your favor to all their rules of trade.”
—Ralph Waldo Emerson (1803–1882)
“Logic teaches rules for presentation, not thinking.”
—Mason Cooley (b. 1927)
“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 (1803–1882)
“The independence of all political and other bother is a happiness.”
—Rutherford Birchard Hayes (1822–1893)