A Method for Simulating Burr Type III and Type XII Distributions through 𝐿-Moments and 𝐿-Correlations

Table 14

Correlation results for the 𝐿-moment-based 𝐿-correlation procedure.

Parameter	Estimate	95% Bootstrap C.I.	St. error	RB%
		𝑛=25
𝜂12=0.80	0.8062	(0.8048, 0.8072)	0.00172	0.78
𝜂13=0.75	0.7571	(0.7556, 0.7585)	0.00172	0.95
𝜂14=0.60	0.6047	(0.6026, 0.6068)	0.00167	0.78
𝜂23=0.70	0.7086	(0.7070, 0.7105)	0.00180	1.23
𝜂24=0.50	0.5057	(0.5031, 0.5082)	0.00176	1.14
𝜂34=0.40	0.4054	(0.4030, 0.4078)	0.00145	1.35
		𝑛=1000
𝜂12=0.80	0.8001	(0.8000, 0.8003)	0.00026	—
𝜂13=0.75	0.7502	(0.7500, 0.7504)	0.00026	—
𝜂14=0.60	0.6001	(0.5997, 0.6004)	0.00026	—
𝜂23=0.70	0.7002	(0.6999, 0.7004)	0.00028	—
𝜂24=0.50	0.5002	(0.4998, 0.5006)	0.00028	—
𝜂34=0.40	0.4003	(0.3999, 0.4006)	0.00022	—