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:
“Under the rules of a society that cannot distinguish between profit and profiteering, between money defined as necessity and money defined as luxury, murder is occasionally obligatory and always permissible.”
—Lewis H. Lapham (b. 1935)
“For rhetoric, he could not ope
His mouth, but out there flew a trope;
And when he happen’d to break off
I’ th’ middle of his speech, or cough,
H’ had hard words ready to show why,
And tell what rules he did it by;”
—Samuel Butler (1612–1680)
“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)
“... we’re not out to benefit society, to remold existence, to make industry safe for anyone except ourselves, to give any small peoples except ourselves their rights. We’re not out for submerged tenths, we’re not going to suffer over how the other half lives. We’re out for Mary’s job and Luella’s art, and Barbara’s independence and the rest of our individual careers and desires.”
—Anne O’Hagan (1869–?)