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We investigate an auto-regressive formulation for the problem of smoothingtime-series by manipulating the inherent objective function of the traditionalmoving mean smoothers. Not only the auto-regressive smoothers enforce a higherdegree of smoothing, they are just as efficient as the traditional moving meansand can be optimized accordingly with respect to the input dataset.Interestingly, the auto-regressive models result in moving means withexponentially tapered windows.

An Auto-Regressive Formulation for Smoothing and Moving Mean with Exponentially Tapered Windows