Definition:Covariance Matrix
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Definition
Let $\sequence a_n$ and $\sequence b_n$ be sequences of $n$ observations.
A covariance matrix $\mathbf C$ is a square matrix of order $n$ defined as:
- $\sqbrk c_{i j} = \cov {x_i, y_i}$
where $\cov {x_i, y_i}$ denotes the covariance of $x_i$ and $y_j$.
Also see
- Results about covariance matrices can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): covariance matrix
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): covariance matrix