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arxiv: 1501.00625 · v2 · pith:WUEOY4QQnew · submitted 2015-01-04 · 🧮 math.PR · math.ST· stat.TH

The intersection of past and future for multivariate stationary processes

classification 🧮 math.PR math.STstat.TH
keywords processesmultivariatefutureintersectionpastpropertystationarycharacterizations
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We consider an intersection of past and future property of multivariate stationary processes which is the key to deriving various representation theorems for their linear predictor coefficient matrices. We extend useful spectral characterizations for this property from univariate processes to multivariate processes.

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