Reliability Assessment on Pile Foundation Bearing Capacity Based on the First Four Moments in High-Order Moment Method

Table 1

Five- and seven-point estimates corresponding to the estimating point and weight.

	Estimation point	Weights
Five-point estimate	u0 = 0	p0 = 0.53333
	u1+ = −u1− = 1.35563	p1+ = p1− = 0.22208
	u2+ = −u2− = 2.85697	p2+ = p2− = 1.12574 × 10^−2
Seven-point estimate	u0 = 0	p0 = 0.45714
	u1+ = −u1− = 1.15441	p1+ = p1− = 0.24012
	u2+ = −u2− = 2.36676	p2+ = p2− = 0.03076
	u3+ = −u3− = 3.75044	p3+ = p3− = 5.4826910^−4