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\begin{aligned} π (γ, β | D) \propto {\begin{cases} L_{R P} (D | γ, β) p (γ, β) & if (γ^{'}, β^{'})^{'} \sim MVN \\ L_{R P} (D | γ, β) p (γ) p (β) & otherwise \end{cases} \end{aligned}

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\begin{equation*} \begin{split} \pi (\bgamma ,\bbeta |D) \propto \left\{ \begin{array}{ll} L_{\mr{RP}}(D|\bgamma ,\bbeta ) p(\bgamma ,\bbeta ) & \textrm{if } \quad (\gamma ',\bbeta ')' \sim \textrm{MVN} \\ L_{\mr{RP}}(D|\bgamma ,\bbeta ) p(\bgamma ) p(\bbeta ) & \textrm{otherwise} \end{array} \right. \end{split}\end{equation*}