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:

    Let’s start with the three fundamental Rules of Robotics.... We have: one, a robot may not injure a human being, or, through inaction, allow a human being to come to harm. Two, a robot must obey the orders given it by human beings except where such orders would conflict with the First Law. And three, a robot must protect its own existence as long as such protection does not conflict with the First or Second Laws.
    Isaac Asimov (1920–1992)

    There are two great rules in life, the one general and the other particular. The first is that every one can in the end get what he wants if he only tries. This is the general rule. The particular rule is that every individual is more or less of an exception to the general rule.
    Samuel Butler (1835–1902)

    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)

    ...there was the annual Fourth of July picketing at Independence Hall in Philadelphia. ...I thought it was ridiculous to have to go there in a skirt. But I did it anyway because it was something that might possibly have an effect. I remember walking around in my little white blouse and skirt and tourists standing there eating their ice cream cones and watching us like the zoo had opened.
    Martha Shelley, U.S. author and social activist. As quoted in Making History, part 3, by Eric Marcus (1992)