Characterizing Tukey ℎ and ℎℎ-Distributions through 𝐿-Moments and the 𝐿-Correlation

Table 9

Correlation (strong) results for the 𝐿-moment procedure.

(a) 𝑛=25

Parameter	Estimate	95% Bootstrap C.I.	Standard error	Relative bias%
𝜂12=0.70	0.710	0.708, 0.711	0.0015	1.40
𝜂13=0.70	0.709	0.708, 0.711	0.0015	1.34
𝜂14=0.85	0.856	0.855, 0.857	0.0015	0.71
𝜂23=0.70	0.708	0.706, 0.709	0.0015	1.10
𝜂24=0.70	0.707	0.706, 0.709	0.0015	1.01
𝜂34=0.70	0.708	0.707, 0.710	0.0014	1.20

(b) 𝑛=1000

Parameter	Estimate	95% Bootstrap C.I.	Standard error	Relative bias%
𝜂12=0.70	0.7014	0.7012, 0.7016	0.00022	0.20
𝜂13=0.70	0.7016	0.7014, 0.7018	0.00022	0.23
𝜂14=0.85	0.8511	0.8509, 0.8512	0.00022	0.13
𝜂23=0.70	0.7002	0.6999, 0.7004	0.00022	—
𝜂24=0.70	0.7003	0.7001, 0.7005	0.00022	0.04
𝜂34=0.70	0.7004	0.7002, 0.7006	0.00021	0.06