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:
“As no one can tell what was the Roman pronunciation, each nation makes the Latin conform, for the most part, to the rules of its own language; so that with us of the vowels only A has a peculiar sound.”
—Henry David Thoreau (1817–1862)
“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)
“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)
“Traditionally in American society, men have been trained for both competition and teamwork through sports, while women have been reared to merge their welfare with that of the family, with fewer opportunities for either independence or other team identifications, and fewer challenges to direct competition. In effect, women have been circumscribed within that unit where the benefit of one is most easily believed to be the benefit of all.”
—Mary Catherine Bateson (b. 1939)