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Covariance
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Revision as of 14:45, January 17, 2009
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14:45, January 17, 2009
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: <math>\operatorname{Cov}(X, Y) = \operatorname{E}[(X - \mu) (Y - \nu)], \,</math>
: <math>\operatorname{Cov}(X, Y) = \operatorname{E}[(X - \mu) (Y - \nu)], \,</math>
−
where E is the operator for the expected value.
+
where E is the operator for the
[[
expected value
]]
.
−
If ''X'' and ''Y'' are completely
[[
independent
variables|independent]]
from each other, then they have zero covariance.
+
If ''X'' and ''Y'' are completely
statistically
independent from each other, then they have zero covariance.
Note that if ''X'' and ''Y'' have covariance zero, they are un[[correlated]] but are not necessarily independent.
Note that if ''X'' and ''Y'' have covariance zero, they are un[[correlated]] but are not necessarily independent.
[[category:probability and Statistics]]
[[category:probability and Statistics]]
Qwestor
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