Statistical approach of parton distributions: a closer look at the high-$x$ region

We recall the physical features of the parton distributions in the quantum statistical approach of the nucleon, which allows to describe simultaneously, unpolarized and polarized Deep Inelastic Scattering data. Some predictions from a next-to-leading order QCD analysis are compared to recent experimental results and we stress the importance of some tests in the high-$x$ region, to confirm the validity of this approach.