Correction: Pfeifer, D.; Ragulina, O. Adaptive Bernstein Copulas and Risk Management. Mathematics 2020, 8, 2221

The authors wish to make the following corrections to this paper [1]:

1.

On Page 9, relation (17) is given by

$$r_{ij}^{+}:=r_{i,⌈\frac{j}{M}⌉}\left(⌈\frac{j}{M}⌉M+1-j\right),i=1,\dots ,d,j=1,\dots ,Mn.$$

(17)

This should read

$$r_{ij}^{+}:=r_{i,⌈\frac{j}{M}⌉}M+\left(⌈\frac{j}{M}⌉-1\right)M+1-j,i=1,\dots ,d,j=1,\dots ,Mn.$$

(17)

2.

On Page 9,

Table 5. Ranks $r_{ij}$ and probabilities $p(r_1,r_2)$ in Example 4.

$\mathit{j}\setminus \mathit{i}$	1	2	$\mathit{p}({\mathit{r}}_1,{\mathit{r}}_2)$
1	1	2	0.2
2	2	4	0.2
3	3	1	0.2
4	4	2	0.2
5	5	5	0.2

is given by

This should read

Table 5. Ranks $r_{ij}$ and probabilities $p(r_1,r_2)$ in Example 4.

$\mathit{j}\setminus \mathit{i}$	1	2	$\mathit{p}({\mathit{r}}_1,{\mathit{r}}_2)$
1	1	3	0.2
2	2	4	0.2
3	3	1	0.2
4	4	2	0.2
5	5	5	0.2

Table 5. Ranks $r_{ij}$ and probabilities $p(r_1,r_2)$ in Example 4.

$\mathit{j}\setminus \mathit{i}$	1	2	$\mathit{p}({\mathit{r}}_1,{\mathit{r}}_2)$
1	1	3	0.2
2	2	4	0.2
3	3	1	0.2
4	4	2	0.2
5	5	5	0.2

The authors would like to apologize for any inconvenience caused to the readers by these changes, and to thank B.Sc. Lennard Foraita for pointing out the error in relation (17).

The authors apologize for any inconvenience caused and state that the scientific conclusions are unaffected. The original article has been updated.