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A random matrix is a matrix whose entries consist of random variables from some specified distribution. Random matrices have many modern applications in physics, finance, statistics and numerical analysis.

3 votes

What is the difference between a matrix normal distribution and the multivariate gaussian di...

Example for diagonal matrices $$U = \begin{bmatrix} u_1 & 0 & 0 \\0& u_2 & 0 \\ 0&0&u_3 \end{bmatrix}$$ and $$V = \begin{bmatrix} v_1 & 0 & 0 \\0& v_2 & 0 \\ 0&0&v_3 \end{bmatrix}$$ lead to $$\Sigma = …
Sextus Empiricus's user avatar
1 vote

significance of PCA with EWMA

I would naively use $\lambda^{-1}$ (or some more sophisticated similar calculation) as the number of data points With $\lambda^{-1} = 1/0.95 \approx 1.05$ you are using approximately 1.05 datapoints …
Sextus Empiricus's user avatar