Statement
The result is that two independent events become conditionally dependent (negatively dependent) given that at least one of them occurs. Symbolically:
- if 0 < P(A) < 1 and 0 < P(B) < 1,
- and P(A|B) = P(A), i.e. they are independent,
- then P(A|B,C) < P(A|C) where C = A∪B (i.e. A or B).
In words, given two independent events, if you only consider outcomes where at least one occurs, then they become negatively dependent.
Read more about this topic: Berkson's Paradox
Famous quotes containing the word statement:
“Eloquence must be grounded on the plainest narrative. Afterwards, it may warm itself until it exhales symbols of every kind and color, speaks only through the most poetic forms; but first and last, it must still be at bottom a biblical statement of fact.”
—Ralph Waldo Emerson (1803–1882)
“The parent is the strongest statement that the child hears regarding what it means to be alive and real. More than what we say or do, the way we are expresses what we think it means to be alive. So the articulate parent is less a telling than a listening individual.”
—Polly Berrien Berends (20th century)
“He that writes to himself writes to an eternal public. That statement only is fit to be made public, which you have come at in attempting to satisfy your own curiosity.”
—Ralph Waldo Emerson (1803–1882)