Correction to: Testing the hypothesis of a block compound symmetric covariance matrix for elliptically contoured distributions

1 Correction to: TEST https://doi.org/10.1007/s11749-016-0512-4

There are two expressions where a spurious v appears. These are the first row of expression (11), which should be

$$\begin{aligned} E\left( \varLambda _a^h\right) =\prod _{k=1}^{u-1}\prod _{j=1}^m \frac{\varGamma \left( \frac{n-j}{2}\right) \varGamma \left( \frac{n-(u-k)m-j}{2}+\frac{n}{2}h\right) }{\varGamma \left( \frac{n-(u-k)m-j}{2}\right) \varGamma \left( \frac{n-j}{2}+\frac{n}{2}h\right) }, \end{aligned}$$

(11)

and expression (13), which should be

$$\begin{aligned} h_j=\left\{ \begin{array}{cll} u-1, &{}&{} j=1,\dots ,m\\ -1, &{}&{} j=m+1,\dots ,mu-2\,. \end{array} \right. \end{aligned}$$

(13)

In addition, in expression (16), there is a “$u-1$” missing in the denominator of the second parameter of the Beta random variables. This expression should be

$$\begin{aligned} \varLambda _b\sim \prod _{j=1}^m\prod _{k=1}^{u-1}\left( X_{jk}^*\right) ^{\frac{n}{2}},~~\mathrm{with}~~X_{jk}^*\sim Beta\left( \frac{n-j}{2},\frac{2k+(u-2)j-u}{2(u-1)}\right) . \end{aligned}$$

(16)