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:

    Critics are more committed to the rules of art than artists are.
    Mason Cooley (b. 1927)

    The average educated man in America has about as much knowledge of what a political idea is as he has of the principles of counterpoint. Each is a thing used in politics or music which those fellows who practise politics or music manipulate somehow. Show him one and he will deny that it is politics at all. It must be corrupt or he will not recognize it. He has only seen dried figs. He has only thought dried thoughts. A live thought or a real idea is against the rules of his mind.
    John Jay Chapman (1862–1933)

    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)

    It is my duty to prevent, through the independence of Cuba, the U.S.A. from spreading over the West Indies and falling with added weight upon other lands of Our America. All I have done up to now and shall do hereafter is to that end.... I know the Monster, because I have lived in its lair—and my weapon is only the slingshot of David.
    José Martí (1853–1895)