projnormal.formulas

Formulas describing the projected normal and related distributions obtained from a multivariate normal variable \(x\sim \mathcal{N}(\mu, \Sigma)\).

Modules

projected_normal

Formulas for the projected normal distribution, given by \(y=x/\|x\|\).

projected_normal_B

Formulas for the distribution of \(y=x/\sqrt{x^T B x}\).

projected_normal_Bc

Formulas for the distribution of \(y=x/\sqrt{x^T B x + c}\).

projected_normal_c

Formulas for the distribution of \(y=x/\sqrt{\|x\|^2 + c}\).

projected_normal_iso

Formulas for the projected normal distribution with isotropic covariance matrix of \(x\).