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 of, rules, conditional and/or independence:

    The rules of drinking games are taken more serious than the rules of war.
    Chinese proverb.

    The early Christian rules of life were not made to last, because the early Christians did not believe that the world itself was going to last.
    George Bernard Shaw (1856–1950)

    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)

    We must have constantly present in our minds the difference between independence and liberty. Liberty is a right of doing whatever the laws permit, and if a citizen could do what they forbid he would no longer be possessed of liberty.
    —Charles Louis de Secondat Montesquieu (1689–1755)