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Covariance is a quantity used to measure the strength and direction of the linear relationship between two variables. The covariance is unscaled, & thus often difficult to interpret; when scaled by the variables' SDs, it becomes Pearson's correlation coefficient.
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Proof for uncertainty mixing intuition
Could somewone give me a mathematical proof for this 'intuitive' result?
I have a random vector $\mathbf{Y}$ related to another random vector $\mathbf{X}$ with the equation $\mathbf{Y} = \mathbf{A}\m …
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Second order statistics of sample statistics for random vectors
I have a set of iid random vectors $\{\boldsymbol{X}^i\}_{i=1}^N$, whose expected value is $\mathbb{E}[\boldsymbol{X}^i] = \boldsymbol{\mu}$ and whose variance - covariance matrix is $\boldsymbol{\sigma …