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# Table 6 Kendall's measure of association and Archimedean copulas

Family of copulas | Independent | Gumbel | Clayton | Frank |
---|---|---|---|---|

Kendall's τ
| 0 | $\frac{\theta -1}{\theta}$ | $\frac{\theta}{\theta +2}$ | $1-\frac{4}{\theta}\left\{1-{D}_{1}\left(\theta \right)\right\}$ |