  The quon algebra is an approach to particle statistics introduced by
Greenberg in order to provide a theory in which the Pauli exclusion principle
and Bose statistics are violated by a small amount. We generalize these models
by introducing a deformation of the quon algebra generated by a collection of
operators $\mathtt{a}_i$, $i \in \mathbb{N}^*$ the set of positive integers, on
an infinite dimensional module satisfying the $q_{i,j}$-mutator relations
$\mathtt{a}_i \mathtt{a}_j^{\dag} - q_{i,j}\, \mathtt{a}_j^{\dag} \mathtt{a}_i
= \delta_{i,j}$. The realizability of our model is proved by means of the
Aguiar-Mahajan bilinear form on the chambers of hyperplane arrangements. We
show that, for suitable values of $q_{i,j}$, the module generated by the
particle states obtained by applying combinations of $\mathtt{a}_i$'s and
$\mathtt{a}_i^{\dag}$'s to a vacuum state $|0\rangle$ is an indefinite Hilbert
module. Furthermore, we refind the extended Zagier's conjecture established
independently by Meljanac et al. and by Duchamp et al.
