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:

    Those rules of old discovered, not devised,
    Are Nature sill, but Nature methodized;
    Nature, like liberty, is but restrained
    By the same laws which first herself ordained.
    Alexander Pope (1688–1744)

    Retaliation is related to nature and instinct, not to law. Law, by definition, cannot obey the same rules as nature.
    Albert Camus (1913–1960)

    Computer mediation seems to bathe action in a more conditional light: perhaps it happened; perhaps it didn’t. Without the layered richness of direct sensory engagement, the symbolic medium seems thin, flat, and fragile.
    Shoshana Zuboff (b. 1951)

    The independence of all political and other bother is a happiness.
    Rutherford Birchard Hayes (1822–1893)