There is a typo in the exponent of the std in the FIM for the univariate Gaussian in eq. (3.2.34), the bottom-right element of the matrix should be: 2/σ^4 rather than 2/σ^2. See [1].
Also, the determinant right after this equation should be proportional to σ^(-3) rather than σ^2. See [2].
The corrected terms in LaTex are:
[1] $2/\sigma^4$
[2] $\sqrt{\det(\mathbf{F}(\boldsymbol{\theta}))}=\frac{\sqrt{2}}{\sigma^3}$
There is a typo in the exponent of the std in the FIM for the univariate Gaussian in eq. (3.2.34), the bottom-right element of the matrix should be: 2/σ^4 rather than 2/σ^2. See [1].
Also, the determinant right after this equation should be proportional to σ^(-3) rather than σ^2. See [2].
The corrected terms in LaTex are: [1] $2/\sigma^4$ [2] $\sqrt{\det(\mathbf{F}(\boldsymbol{\theta}))}=\frac{\sqrt{2}}{\sigma^3}$