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Covariance matrix
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Probability and statistics
Probability theory
Expected value
Variance
Covariance
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For a random vector
X
with finite second moments, its covariance matrix is
cov
(
X
)
=
E
[(
X
−
E
X
)
(
X
−
E
X
)
T
]
.
(90)
It is positive semidefinite, and the variance of
a
T
X
is
a
T
cov
(
X
)
a
.
Table of contents
37
1
Correlation coefficient
Covariance matrix
8
Ancestors
(8)
Covariance
Variance
Expected value
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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