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Random Matrix Time Series

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arxiv 2203.12789 v1 pith:F2FE7LAL submitted 2022-03-24 stat.ME math.STstat.TH

classification stat.MEmath.STstat.TH
keywords matrixrandomseriestimemodelapplicationscoefficientsdefinitions
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In this paper, a time series model with coefficients that take values from random matrix ensembles is proposed. Formal definitions, theoretical solutions, and statistical properties are derived. Estimation and forecast methodologies for random matrix time series are discussed with examples. Random matrix differential equations and potential applications of the time series model are suggested at the end.

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