Table 2 Goodness-of-fit evaluation of candidate copula models.

From: An optimization method for integrated demand response strategies for electricity and heat considering the uncertainty of user-side loads

Copula type

Log-likelihood

Akaike information criterion

Bayesian information criterion

Kendall’s τ

Selected

Frank-copula

− 1225.13

2454.26

2460.52

0.42

√

Gaussian copula

− 1227.94

2459.88

2468.37

0.43

× 

t-copula

− 1230.33

2464.66

2472.15

0.44

× 

Clayton copula

− 1248.03

2496.06

2501.32

0.39

× 

Gumbel copula

− 1239.15

2482.30

2488.77

0.41

× 

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