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arxiv: 1504.06185 · v3 · pith:77RRWNEJnew · submitted 2015-04-23 · 🧮 math.ST · stat.TH

On Locally Dyadic Stationary Processes

classification 🧮 math.ST stat.TH
keywords dyadiclocallyprocesstimetvdarmaaccountanalysisapproximated
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We introduce the concept of local dyadic stationarity, to account for non-stationary time series, within the framework of Walsh-Fourier analysis. We define and study the time varying dyadic ARMA models (tvDARMA). It is proven that the general tvDARMA process can be approximated locally by either a tvDMA and a tvDAR process.

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