Bayesian Estimation of Archimedean Copula-Based SUR Quantile Models

Table 8

Model selection and prior sensitivity check.

	DIC	Gaussian	Student-t	Clayton	Gumbel	Joe	Frank	M0
Weak prior		−4028.48	−3602.62	−4441.98	−2301.10	−2980.83	−3316.27	−3018.11
		−2501.28	−3313.28	−3293.29	−2238.56	−2218.23	−3517.42	−2458.22
		−3074.94	−2982.58	−4075.10	−2430.20	−2405.26	−3352.41	−3001.32
Diffusion prior		−4149.18	−3515.92	−4193.47	−2596.13	−2596.13	−3462.22	−3084.18
		−2473.64	−3298.69	−3203.15	−2251.99	2244.39	3500.01	−2444.98
		−3000.63	−2814.36	−3978.64	−2221.54	−2211.18	−3354.69	−2987.14
Informative prior		−4052.51	−3687.39	−4512.68	−2347.66	−2001.35	−3398.41	−3021.01
		−2641.31	−3343.14	−3300.88	−2288.98	−2210.35	−3601.01	−2500.54
		−2942.64	−2848.54	−41871.1	−2200.87	−2209.91	−3358.69	−3005.05

The bold number indicates the lowest DIC for each quantile level.