This　paper　addresses　the　robust　H-2　filtering　problem　for　a　class　of　uncertain　discrete-time　nonlinear　stochastic　systems.　The　nonlinearities　described　by　statistical　means　in　this　paper　comprise　some　well-studied,　classes　of　nonlinearities　in　the　literature.　A　technique　is　developed　to　tackle　the　matrix　trace　terms　resulting　from　the　nonlinearities,　and　the　well-known　S-procedure　technique　is　adopted　to　cope　with　the　uncertainties.　A　unified　framework　is　established　to　solve　the　addressed　robust　H-2　filtering　problem　by　using　a　linear　matrix　inequality　approach.　A　numerical　example　is　provided　to　illustrate　the　usefulness　of　the　proposed　method.