Table 3. Integration results: centric distribution.

The mean error and standard deviation of the relative log-likelihood over the full parameter range are reported as percentages. Quadrature results for γ = 1 are absent because the function is not guaranteed to be zero at the origin as required by the hyperbolic quadrature scheme.

Method	γ = 1	γ = 2	γ = 3
Laplace approximation	−1.766/8.170	0.357/1.729	0.738/1.841
Quadrature (N = 3)	—	0.300/1.617	0.725/1.850
Quadrature (N = 5)	—	0.391/0.990	0.438/1.183
Quadrature (N = 7)	—	0.269/0.750	0.311/0.943