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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 1 Lagrange multipliers estimated from sample dataset and the true population

From: Copula–entropy theory for multivariate stochastic modeling in water engineering

Lagrange multipliers

X ~ gamma

Y ~ lognormal

λ 0

λ 1

λ 2

λ 0

λ 1

λ 2

Sample

7.0881

0.0505

− 1.3190

16.9052

− 6.8616

0.9810

Population

12.2919

0.0952

− 3.3000

17.4612

− 7.1633

1.0204