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The inverse of a given square matrix, $A$, is the matrix $A^{-1}$ such that $AA^{-1}$ is the identity matrix.

1 vote
1 answer
759 views

Evaluate high-dimensional Gaussian with variance matrix $\sigma^{2}I_{n_{t}\times n_{t}}+\bo...

I need to compute the log-likelihood function in a high-dimensional Gaussian time-series. I have the following model: $\mathbf{y}_{t}\left|\mathcal{F}_{t-1}\sim\mathcal{N}\left(\mathbf{\boldsymbol{\m …
BLaursen's user avatar
  • 303
0 votes
0 answers
97 views

Evaluate the multivariate normal using variance matrices $\boldsymbol{\Lambda}+\alpha_{i}\ma...

I need to calculate a huge amount of inverses and determinants to evaluate the pdf of the multivariate Gaussian. Specifically I need to compute the inverses and determinants of the following varianc …
BLaursen's user avatar
  • 303