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We consider $W^{\pm}$ gauge bosons production in connection with recentresults from BNL-RHIC and FNAL-Tevatron and interesting predictions from thestatistical parton distributions. They concern relevant aspects of thestructure of the nucleon sea and the high-$x$ region of the valence quarkdistributions. We also give predictions in view of future proton-neutroncollisions experiments at BNL-RHIC.

$W^{\pm}$ bosons production in the quantum statistical parton distributions approach