  We will give an overview of four families of cardinal characteristics defined
on subspaces $\prod_{\alpha\in\kappa}b(\alpha)$ of the generalised Baire space
${}^\kappa\kappa$, where $\kappa$ is strongly inaccessible and
$b\in{}^\kappa\kappa$. The considered families are bounded versions of the
dominating, eventual difference, localisation and anti-localisation numbers,
and their dual cardinals. We investigate parameters for which these cardinals
are non-trivial and how the cardinals relate to each other and to other
cardinals of the generalised Cicho\'n diagram. Finally we prove that different
choices of parameters may lead to consistently distinct cardinals.
