Correction: Risca et al. Archimedean Copulas: A Useful Approach in Biomedical Data—A Review with an Application in Pediatrics. Stats 2025, 8, 69

Risca, Giulia; Galimberti, Stefania; Rebora, Paola; Cattoni, Alessandro; Valsecchi, Maria Grazia; Capitoli, Giulia

doi:10.3390/stats9020030

Error in Figure

In the original publication [1], there was a mistake in Figure 1 as published. Figure 1B mistakenly replicated Figure 1A. The corrected Figure 1 appears below. The authors state that the scientific conclusions are unaffected. This correction was approved by the Academic Editor. The original publication has also been updated.

Figure 1. Simulated data by the r package copula [19] from the Frank copula function with a positive (A) or negative (B) parameter of association.

Text Correction

The following errors were retained in the original publication.

The text incorrectly described the effect of small values of

θ

in the GH copula.

A correction has been made to Section 2. Copula: Large values of

θ

provide a positive strong association and independence is achieved when

θ \to 1

.

The symbol “vs.” was mistakenly used instead of “v” was corrected in Section 2. Copula, in 2.3.1. Survival Copula:

Let

\frac{\partial^{2} C}{\partial u \partial v}

and

\frac{\partial^{2} C}{\partial v \partial u}

exist and be continuous on

I^{2}

c (u, v) = \frac{\partial^{2} C}{\partial u \partial v} = \frac{\partial^{2} C}{\partial v \partial u}

\bar{C} (u, v) = u + v - 1 + C (1 - u, 1 - v)

The equation for Kendall’s

\hat{τ}

contained an error (missing exponent).

A correction has been made to Section 3. Estimation Methods:

\hat{τ} = {(\binom{n}{2})}^{- 1} \sum_{i < j} S i g n [(X_{i} - X_{j}) (Y_{i} - Y_{j})]

Reference

Reference 19 has been updated to: Yan, J. Enjoy the Joy of Copulas: With a Package copula. J. Stat. Softw. 2007, 21, 1–21. https://doi.org/10.18637/jss.v021.i04.

Reference

Risca, G.; Galimberti, S.; Rebora, P.; Cattoni, A.; Valsecchi, M.G.; Capitoli, G. Archimedean Copulas: A Useful Approach in Biomedical Data—A Review with an Application in Pediatrics. Stats 2025, 8, 69. [Google Scholar] [CrossRef] [Scilit]

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