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This article is concerned with the problem of Hinfin filtering for output PDFs of the stochastic singular dynamics which is modeled by B-spline functions. For a given stochastic singular system, the purpose is to design static and dynamical filter such that resulting filtering error system is regular, impulse free and mean-square stable and guarantees Hinfin performance. We also derive sufficient linear matrix inequality (LMI) conditions for the existence of such a filter with free variables. Finally, we give a numerical example to show the effectiveness of the proposed method.