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:

    When I hear the hypercritical quarreling about grammar and style, the position of the particles, etc., etc., stretching or contracting every speaker to certain rules of theirs ... I see that they forget that the first requisite and rule is that expression shall be vital and natural, as much as the voice of a brute or an interjection: first of all, mother tongue; and last of all, artificial or father tongue. Essentially your truest poetic sentence is as free and lawless as a lamb’s bleat.
    Henry David Thoreau (1817–1862)

    A man often thinks he rules himself, when all the while he is ruled and managed; and while his understanding directs one design, his affections imperceptibly draw him into another.
    François, Duc De La Rochefoucauld (1613–1680)

    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)

    I saw the man my friend ... wants pardoned, Thomas Flinton. He is a bright, good-looking fellow.... Of his innocence all are confident. The governor strikes me as a man seeking popularity, who lacks the independence and manhood to do right at the risk of losing popularity. Afraid of what will be said. He is prejudiced against the Irish and Democrats.
    Rutherford Birchard Hayes (1822–1893)