Statistical Investigation of Bearing Capacity of Pile Foundation Based on Bayesian Reliability Theory

Table 1

Comparison of the estimation methods.

n	Parameter	Maximum likelihood method		Bayesian quantile method
		10	Mean	0.1222	1.1567	0.0941	1.0811
RMSE	0.2653		0.3577	0.1981	0.2713
KS	0.3533		0.2457
R^2	0.8329		0.8897
20	Mean	0.0757	1.1023	0.0511	1.0588
	RMSE	0.1835	0.2453	0.1448	0.1857
	KS	0.2635		0.1977
	R^2	0.9013		0.9233
30	Mean	0.0533	1.0757	0.0478	1.0421
	RMSE	0.1532	0.2134	0.1135	0.1577
	KS	0.1526		0.0997
	R^2	0.9552		0.9753
50	Mean	0.0437	1.0532	0.0392	1.0387
	RMSE	0.1152	0.1562	0.0826	0.1281
	KS	0.1299		0.0873
	R^2	0.9632		0.9873
100	Mean	0.0365	1.0484	0.0278	1.0326
	RMSE	0.0761	0.1392	0.0518	0.0985
	KS	0.0831		0.0653
	R^2	0.9767		0.9915
200	Mean	0.0265	1.0361	0.0212	1.0148
	RMSE	0.0571	0.0765	0.0471	0.0512
	KS	0.0674		0.0521
	R^2	0.9811		0.9945
300	Mean	0.0185	1.0299	0.0132	1.0102
	RMSE	0.0366	0.0571	0.0276	0.0327
	KS	0.0524		0.0499
	R^2	0.9911		0.9976
500	Mean	0.0055	1.0053	0.0035	1.0021
	RMSE	0.0231	0.0372	0.0183	0.0161
	KS	0.0313		0.0272
	R^2	0.9952		0.9998
1000	Mean	0.0015	1.0010	0.0004	1.0002
	RMSE	0.0131	0.0212	0.0071	0.0009
	KS	0.0113		0.0065
	R^2	0.9987		0.9996