Correction to: The 8-parameter Fisher–Bingham distribution on the sphere

1 Correction to: Computational Statistics https://doi.org/10.1007/s00180-020-01023-w

In the original publication of the article, the corrections in Eq. (13) were missed, in which 2v − 1 was changed to 2v in the exponent.

The corrected Eq. (13) is as given below:

$$ \begin{aligned} c_{8} & = 2\int_{0}^{\pi } {\sum\limits_{l,k,j = 0}^{\infty } {\left\{ {\frac{{\kappa^{2(l + k)} \beta^{j} \nu_{2}^{2l} \nu_{3}^{2k} }}{(2l)!(2k)!j!}e^{{\kappa \nu_{1} \cos \theta }} \sin^{2v} \theta } \right.} } \\ & \quad \left. \times \sum\limits_{i = 0}^{j} {( - \eta )^{i} } \left( \begin{aligned} j \\ i \\ \end{aligned} \right)B\left( {u - i,i + w} \right)\right \} {\text{d}}\theta \\ \end{aligned} $$

(13)

The original article has been updated.