Research Article
Power Prior Elicitation in Bayesian Quantile Regression
Table 3
Posterior means of for the real data. In the parentheses are standard deviations of .
| | | Mean | Mean | Mean | Mean of | Mean of |
| | 0.90 | 0.10 | 7.2114 (0.432) | 0.0237 (0.035) | 0.0201 (0.019) | −0.0005 (0.017) | −0.1036 (0.021) | | 0.25 | 7.3455 (0.441) | 0.0240 (0.039) | 0.0193 (0.013) | −0.0002 (0.021) | −0.0900 (0.019) | | 0.50 | 7.3701 (0.357) | 0.0212 (0.031) | 0.0109 (0.011) | −0.0002 (0.018) | −0.0864 (0.013) | | 0.75 | 7.3704 (0.332) | 0.0210 (0.027) | 0.0109 (0.009) | −0.0001 (0.014) | −0.0819 (0.012) | | 0.90 | 7.3732 (0.263) | 0.0201 (0.022) | 0.0106 (0.009) | −0.0001 (0.012) | −0.0827 (0.007) |
| | 0.75 | 0.10 | 6.8264 (0.337) | 0.0231 (0.026) | 0.0252 (0.013) | −0.0005 (0.015) | −0.0455 (0.027) | | 0.25 | 7.0158 (0.227) | 0.0228 (0.011) | 0.0252 (0.019) | −0.0001 (0.014) | −0.0328 (0.022) | | 0.50 | 7.0173 (0.316) | 0.0216 (0.011) | 0.0159 (0.012) | −0.0004 (0.010) | −0.0145 (0.017) | | 0.75 | 7.0408 (0.216) | 0.0203 (0.010) | 0.0117 (0.010) | −0.0004 (0.011) | −0.0097 (0.016) | | 0.90 | 7.0391 (0.117) | 0.0191 (0.010) | 0.0112 (0.008) | −0.0004 (0.011) | −0.0085 (0.013) |
| | 0.5 | 0.10 | 6.3933 (0.221) | 0.0269 (0.013) | 0.0354 (0.018) | −0.0008 (0.022) | 0.0137 (0.024) | | 0.25 | 6.7117 (0.117) | 0.0250 (0.009) | 0.0306 (0.013) | −0.0006 (0.020) | 0.0471 (0.019) | | 0.50 | 6.7130 (0.113) | 0.0149 (0.010) | 0.0265 (0.012) | −0.0006 (0.017) | 0.0487 (0.018) | | 0.75 | 6.7163 (0.113) | 0.0193 (0.008) | 0.0110 (0.009) | −0.0002 (0.018) | 0.0631 (0.016) | | 0.90 | 6.7928 (0.105) | 0.0136 (0.008) | 0.0110 (0.009) | −0.0002 (0.012) | 0.0633 (0.013) |
| | 0.25 | 0.10 | 6.2386 (0.328) | 0.0216 (0.024) | 0.0165 (0.019) | −0.0003 (0.019) | 0.0794 (0.018) | | 0.25 | 6.3479 (0.317) | 0.0201 (0.029) | 0.0162 (0.017) | −0.0002 (0.024) | 0.0897 (0.016) | | 0.50 | 6.3624 (0.306) | 0.0177 (0.018) | 0.0139 (0.023) | −0.0002 (0.018) | 0.0921 (0.011) | | 0.75 | 6.3703 (0.219) | 0.0167 (0.015) | 0.0146 (0.013) | −0.0002 (0.014) | 0.0937 (0.009) | | 0.90 | 6.3986 (0.201) | 0.0142 (0.014) | 0.0120 (0.012) | −0.0004 (0.013) | 0.0937 (0.007) |
| | 0.1 | 0.10 | 5.8857 (0.357) | 0.0200 (0.019) | 0.0238 (0.025) | −0.0006 (0.017) | 0.0766 (0.017) | | 0.25 | 5.9255 (0.311) | 0.0142 (0.018) | 0.0301 (0.013) | −0.0007 (0.016) | 0.1022 (0.023) | | 0.50 | 5.9308 (0.299) | 0.0114 (0.023) | 0.0329 (0.011) | −0.0007 (0.015) | 0.1239 (0.018) | | 0.75 | 5.9550 (0.271) | 0.0110 (0.014) | 0.0302 (0.015) | −0.0006 (0.012) | 0.1403 (0.018) | | 0.90 | 5.9592 (0.248) | 0.0095 (0.013) | 0.0366 (0.012) | −0.0008 (0.012) | 0.1496 (0.014) |
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