International Scholarly Research Notices

Research Article

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

Table 5

Cholesky decompositions for the 𝐿 -moment procedure.
(a)
𝑎 1 1 = 1 𝑎 1 2 = 0 . 6 8 9 𝑎 1 3 = 0 . 6 8 9 𝑎 1 4 = 0 . 8 4 3
0 𝑎 2 2 = 0 . 7 2 5 𝑎 2 3 = 0 . 2 9 1 𝑎 2 4 = 0 . 1 4 5
00 𝑎 3 3 = 0 . 6 6 4 𝑎 3 4 = 0 . 1 0 4
000 𝑎 4 4 = 0 . 5 0 8
(b)
𝑎 1 1 = 1 𝑎 1 2 = 0 . 3 8 9 𝑎 1 3 = 0 . 4 8 8 𝑎 1 4 = 0 . 5 8 8
0 𝑎 2 2 = 0 . 9 2 1 𝑎 2 3 = 0 . 2 1 3 𝑎 2 4 = 0 . 2 7 8
00 𝑎 3 3 = 0 . 8 4 6 𝑎 3 4 = 0 . 0 5 4 3
000 𝑎 4 4 = 0 . 7 5 8