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, conditional and/or independence:
“Now for civil service reform. Legislation must be prepared and executive rules and maxims. We must limit and narrow the area of patronage. We must diminish the evils of office-seeking. We must stop interference of federal officers with elections. We must be relieved of congressional dictation as to appointments.”
—Rutherford Birchard Hayes (1822–1893)
“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)