In this paper, we investigate both linear and circular stochastic models in the context of texture discrimination. These models aim at representing the magnitudes and orientations obtained by a complex wavelet decomposition, such as the steerable pyramid. The novelty consists in considering specific parametric models for circular data such as Von Mises and Psi-distributions to describe the distributions of orientations. Particular attention is paid to the choice of a metric and to its adequation to the models. Indexation experiments are conducted to quantitatively evaluate the performances of the proposed models and of the chosen matrics, i.e. the L1 and Kullback-Leibler metrics.