Conditional Independence - Rules of Conditional Independence

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:

    Alas! when Virtue sits high aloft on a frigate’s poop, when Virtue is crowned in the cabin of a Commodore, when Virtue rules by compulsion, and domineers over Vice as a slave, then Virtue, though her mandates be outwardly observed, bears little interior sway.
    Herman Melville (1819–1891)

    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)

    There is no dignity quite so impressive, and no independence quite so important, as living within your means.
    Calvin Coolidge (1872–1933)