Research Article

Bayesian Estimation of Archimedean Copula-Based SUR Quantile Models

Table 9

Estimates of the parameters and their standard errors.

ParameterWeak priorDiffusion priorInformative prior

−0.0057 (0.0042)−0.0005 (0.0001)0.0848 (0.0003)−0.0514 (0.0132)0.0071 (0.0012)0.0750 (0.0445)−0.0420 (0.0102)0.0091 (0.0022)−0.0662 (0.0004)
1.3604 (0.0141)0.3232 (0.0247)0.5866 (0.0033)1.2079 (0.1158)0.9491 (0.1442)0.4971 (0.1254)1.7481 (0.0212)0.7030 (0.0254)1.6397 (0.0047)
−0.0112 (0.0016)−0.0011 (0.0001)−0.0023 (0.0002)−0.0013 (0.0002)−0.0021 (0.0010)−0.0004 (0.0002)−0.0031 (0.0011)−0.0053 (0.0001)−0.006 (0.0002)
−0.0006 (0.0015)−0.0001 (0.0001)−0.0007 (0.0001)−0.0015 (0.0021)−0.0002 (0.0002)−0.0001 (0.0010)−0.0010 (0.0015)−0.0008 (0.0001)−0.0021 (0.0002)
−0.0124 (0.0028)−0.0015 (0.0001)0.0231 (0.0012)−0.0538 (0.0144)−0.0562 (0.0254)0.0597 (0.0223)−0.0448 (0.0024)−0.0020 (0.0002)0.0577 (0.0012)
0.8528 (0.0011)0.7995 (0.0022)0.4134 (0.0049)1.6114 (0.1482)1.0801 (0.2443)0.8571 (0.1840)1.8110 (0.0022)1.0664 (0.0065)0.6558 (0.0053)
−0.0044 (0.0015)−0.0028 (0.0001)−0.0124 (0.0001)−0.0019 (0.0023)−0.0050 (0.0012)−0.0013 (0.0001)−0.0034 (0.0014)−0.0015 (0.0001)−0.0043 (0.0001)
−0.0446 (0.0024)−0.0001 (0.0001)−0.0003 (0.0001)−0.0004 (0.0001)−0.0003 (0.0002)−0.0009 (0.0003)−0.0314 (0.0022)−0.0007 (0.0001)−0.0003 (0.0001)
−0.0111 (0.0039)0.0025 (0.0011)0.0428 (0.0021)−0.0541 (0.0113)0.0042 (0.0022)0.0547 (0.0123)−0.0431 (0.0042)0.0030 (0.0012)0.0546 (0.0020
1.3206 (1.0111)1.1543 (0.0033)0.8983 (0.3241)0.9690 (1.0031)0.8371 (0.0412)0.7745 (0.4112)1.7503 (1.0032)1.0361 (0.0022)0.6351 (0.3214)
−0.0011 (0.0020)−0.0022 (0.0001)−0.0485 (0.0023)−0.0045 (0.0022)−0.0013 (0.0005)−0.0122 (0.0034)−0.0078 (0.0032)−0.0058 (0.0010)−0.0068 (0.0015)
−0.0058 (0.0023)−0.00028 (0.0001)−0.0006 (0.0003)−0.0021 (0.0015)0.0001 (0.0001)−0.0002 (0.0003)−0.0017 (0.0008)−0.0003 (0.0002)−0.0004 (0.0002)
CopulaClaytonFrankClaytonClaytonFrankClaytonClaytonFrankClayton
8.1421 (0.0121)0.0001 (0.0012)13.6251 (0.8812)7.6548 (0.0135)0.0001 (0.0001)10.6257 (0.5547)5.9844 (1.3554)0.0001 (0.0001)11.2898 (1.0548)

Note: the brackets ( ) denote the standard deviation.