Open Access

Table 3

Summaries of the Bayesian estimation.

prior mean s–m sd 2.5% 25% 50% 75% 97.5% n_eff Rhat
Case VT vs. VF – see Table 1
Gaussian NI 0.856 0.001 0.043 0.752 0.834 0.863 0.886 0.916 1161 1.000
Gaussian I 0.859 0.001 0.040 0.765 0.838 0.865 0.887 0.918 1198 1.003
Gumbel H NI 3.023 0.012 0.445 2.243 2.707 3.001 3.325 3.938 1315 1.003
Gumbel H I 3.021 0.012 0.444 2.222 2.712 3.005 3.298 3.931 1320 1.001
H × VF vs. Dmax – see Table 2 (left)
Gaussian NI 0.696 0.003 0.088 0.490 0.648 0.712 0.760 0.822 1167 1.002
Gaussian I 0.707 0.002 0.082 0.506 0.663 0.722 0.765 0.824 1305 1.000
Gumbel H NI 2.100 0.009 0.317 1.512 1.881 2.089 2.302 2.743 1158 1.003
Gumbel H I 2.111 0.009 0.319 1.540 1.883 2.089 2.317 2.805 1222 1.001
Hf vs. Dmax – see Table 2 (right)
Gaussian NI 0.768 0.002 0.067 0.612 0.732 0.779 0.817 0.864 1286 1.002
Gaussian I 0.771 0.002 0.065 0.618 0.736 0.782 0.819 0.864 1192 1.003
Gumbel H NI 2.392 0.010 0.358 1.746 2.135 2.385 2.629 3.120 1273 1.001
Gumbel H I 2.399 0.012 0.362 1.742 2.144 2.372 2.642 3.135 959 1.001

n_eff: final number of simulations used for the estimation; sd: standard deviation; s–m = sd/n_eff1/2; Rhat: potential scale reduction factor on split chains (at convergence, Rhat = 1). In bold, the Bayesian estimates of ρ for Gaussian copula and θ for Gumbel–Hougaard copula, by quadratic loss function on left, by multilinear loss function on right. On the top, Non-Informative (NI) prior; on the bottom, Informative (I).

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.