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Timeline for Covariance in multivariate Gaussian

Current License: CC BY-SA 4.0

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Jun 17, 2021 at 10:38 vote accept Jose Ramon
Jun 17, 2021 at 10:36 comment added Tim @JoseRamon because it tells you nothing about covariance between the variables.
Jun 17, 2021 at 10:33 comment added Jose Ramon that does not really answer my question. Visually in the example, I have posted, why the variance in the two dims $\sigma_{X}$ and $\sigma_{Y}$ isn't enough to be used?
Jun 17, 2021 at 10:20 comment added Tim @JoseRamon it represents the covariance matrix between the variables that together form the multivariate distribution.
Jun 17, 2021 at 10:18 comment added Jose Ramon I understand what is the covariance matrix, but I am not sure why it is necessary and what it represents in the multivariate case.
Jun 17, 2021 at 10:16 comment added Tim @JoseRamon to have a distribution for variables that are Gaussian and correlated. If you don't need that, you don't need the distribution.
Jun 17, 2021 at 10:14 comment added Jose Ramon yes, I am trying to grasp the reason that why make use of it in our case.
Jun 17, 2021 at 10:12 comment added Tim @JoseRamon are you familiar with correlation?
Jun 17, 2021 at 10:05 comment added Jose Ramon IIs there a way to explain this visually? How the correlation affects the Gaussian?
Jun 17, 2021 at 9:59 history answered Tim CC BY-SA 4.0