update_linear_multivariate_normal_inverse_gamma_multivariate_gaussian

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function update_linear_multivariate_normal_inverse_gamma_multivariate_gaussian(x:Real[_], A:Real[_,_], ν:Real[_], Λ:LLT, c:Real[_], α:Real, γ:Real) -> (Real[_], LLT, Real, Real)

Update the parameters of a normal inverse-gamma distribution with a linear transformation and multivariate Gaussian likelihood.

• x: The variate.
• A: Scale.
• ν: Prior precision times mean.
• Λ: Prior precision.
• c: Offset.
• α: Prior shape of the inverse-gamma.
• γ: Prior scale accumulator.

Returns: the posterior hyperparameters μ', Λ', γ', α' and β'.