Simulating Nonhomogeneous Non-Gaussian Field by Using Iterative Rank-Dependent Reordering versus Translation Process-Based Procedure

Table 3

The smallest and largest values of the elements in and in .

Target correlation	Case	Beta distribution as marginal				Lognormal distribution as marginal
		Smallest	Largest	Smallest	Largest	Smallest	Largest	Smallest	Largest
		Positive	1	0.000	0.000	−0.045	0.022	−0.025	0.014	−0.043	0.030
2	−0.001		0.001	−0.008	0.009	−0.063	0.061	−0.024	0.028
3	−0.001		0.000	−0.018	0.019	−0.167	0.245	−0.132	0.306
4	−0.049		0.036	−0.015	0.019	−0.575	0.547	−0.161	0.213
5	−0.008		0.001	−0.017	0.013	−0.036	0.032	−0.052	0.022
6	0.000		0.000	−0.018	0.018	−0.031	0.008	−0.040	0.040
7	−0.001		0.000	−0.013	0.017	−0.082	0.097	−0.125	0.295
8	−0.001		0.000	−0.014	0.019	−0.049	0.086	−0.082	0.185
Negative	1	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
	2	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
	3	0.000	0.003	−0.019	0.017	−0.012	0.474	−0.010	0.449
	4	−0.017	0.040	−0.014	0.034	−0.020	0.678	−0.038	0.588
	5	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
	6	0.000	0.000	0.000	0.000	0.000	0.000	0.000	0.000
	7	0.000	0.006	−0.014	0.012	−0.021	0.524	−0.021	0.502
	8	0.000	0.002	−0.018	0.018	−0.013	0.303	−0.024	0.284