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:
“If you do not regard feminism with an uplifting sense of the gloriousness of woman’s industrial destiny, or in the way, in short, that it is prescribed, by the rules of the political publicist, that you should, that will be interpreted by your opponents as an attack on woman.”
—Wyndham Lewis (1882–1957)
“Here was a place where nothing was crystallized. There were no traditions, no customs, no college songs .... There were no rules and regulations. All would have to be thought of, planned, built up, created—what a magnificent opportunity!”
—Mabel Smith Douglass (1877–1933)
“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 Indian’s intercourse with Nature is at least such as admits of the greatest independence of each.”
—Henry David Thoreau (1817–1862)