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The expression of the Kendall correlation coefficient τ and the parameter of the three copula functions are shown in Table 1.

Table 1

Three common Archimedean copulas in the field of hydrology research

Archimedean copulaCθ(u, v)RangeKendall's tau
Clayton    
Frank    
Gumbel–Hougaard    
Archimedean copulaCθ(u, v)RangeKendall's tau
Clayton    
Frank    
Gumbel–Hougaard    

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