Power Prior Elicitation in Bayesian Quantile Regression

Table 2

Posterior means, posterior standard deviations (SD), and mean of the true values of 𝛽_(𝑝).

𝑝	𝑎0	Mean 𝛽0(𝑝)	SD 𝛽0(𝑝)	Mean of the true values of 𝛽0(𝑝)	Mean 𝛽1(𝑝)	SD 𝛽1(𝑝)	Mean of the true values of 𝛽1(𝑝)
0.90	0.10	10.2190	0.4731	10.7816	−1.1840	0.1042	−0.9835
	0.25	10.2550	0.2960		−1.1738	0.0591
	0.50	10.5200	0.1573		−1.1569	0.0315
	0.75	10.7500	0.2127		−1.1060	0.0332
	0.90	10.9400	0.1311		−1.0743	0.0194
0.75	0.10	9.7010	0.3316	10.1745	−1.1911	0.0611	−1.0387
	0.25	9.7030	0.2934		−1.1869	0.0639
	0.50	9.7930	0.2214		−1.1710	0.0455
	0.75	10.0100	0.1852		−1.1680	0.0333
	0.90	10.1620	0.1636		−1.1652	0.0301
0.50	0.10	9.2095	0.2414	9.5000	−1.1938	0.0275	−1.1000
	0.25	9.2560	0.1952		−1.1957	0.0233
	0.50	9.2600	0.1046		−1.1958	0.0176
	0.75	9.2885	0.0871		−1.1968	0.0143
	0.90	9.3080	0.0735		−1.1971	0.0112
0.25	0.10	9.2820	0.3552	8.8255	−1.2590	0.0718	−1.1613
	0.25	9.1890	0.2489		−1.2650	0.0462
	0.50	8.9910	0.1841		−1.2690	0.0340
	0.75	8.8230	0.1660		−1.2760	0.0313
	0.90	8.7270	0.1492		−1.2810	0.0279
0.10	0.10	8.8240	0.3272	8.2184	−1.1940	0.0640	−1.2165
	0.25	8.6460	0.2171		−1.1920	0.0433
	0.50	8.3880	0.1556		−1.2030	0.0292
	0.75	8.1900	0.1723		−1.2430	0.0315
	0.90	8.0980	0.1171		−1.2600	0.0256