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:
“If you do not regard feminism with an uplifting sense of the gloriousness of woman’s industrial destiny, or in the way, in short, that it is prescribed, by the rules of the political publicist, that you should, that will be interpreted by your opponents as an attack on woman.”
—Wyndham Lewis (1882–1957)
“There are ... two minimum conditions necessary and sufficient for the existence of a legal system. On the one hand those rules of behavior which are valid according to the system’s ultimate criteria of validity must be generally obeyed, and on the other hand, its rules of recognition specifying the criteria of legal validity and its rules of change and adjudication must be effectively accepted as common public standards of official behavior by its officials.”
—H.L.A. (Herbert Lionel Adolphus)
“Conditional love is love that is turned off and on....Some parents only show their love after a child has done something that pleases them. “I love you, honey, for cleaning your room!” Children who think they need to earn love become people pleasers, or perfectionists. Those who are raised on conditional love never really feel loved.”
—Louise Hart (20th century)
“In a famous Middletown study of Muncie, Indiana, in 1924, mothers were asked to rank the qualities they most desire in their children. At the top of the list were conformity and strict obedience. More than fifty years later, when the Middletown survey was replicated, mothers placed autonomy and independence first. The healthiest parenting probably promotes a balance of these qualities in children.”
—Richard Louv (20th century)