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)

    Here was a place where nothing was crystallized. There were no traditions, no customs, no college songs .... There were no rules and regulations. All would have to be thought of, planned, built up, created—what a magnificent opportunity!
    Mabel Smith Douglass (1877–1933)

    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)

    Independence I have long considered as the grand blessing of life, the basis of every virtue; and independence I will ever secure by contracting my wants, though I were to live on a barren heath.
    Mary Wollstonecraft (1759–1797)