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)
“You’d leave your own mother here, if the rules called for it.”
—Michael Wilson (1914–1978)
“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)
“Children are as destined biologically to break away as we are, emotionally, to hold on and protect. But thinking independently comes of acting independently. It begins with a two-year-old doggedly pulling on flannel pajamas during a July heat wave and with parents accepting that the impulse is a good one. When we let go of these small tasks without anger or sorrow but with pleasure and pride we give each act of independence our blessing.”
—Cathy Rindner Tempelsman (20th century)