Linear transformations of vector ARMA processes

作者: Helmut Lütkepohl

DOI: 10.1016/0304-4076(84)90023-X

关键词: Arma processApplied mathematicsProcess (engineering)MathematicsLinear mapStochastic processMathematical optimizationUnivariate

摘要: Abstract Linear transformations of stochastic processes are used in many ways economic analyses, for example when linear aggregates or subprocesses considered. It is demonstrated that a transformation vector ARMA process again an and conditions stationarity given. Three different predictors linearly transformed compared. Forecasting the original transforming predictions superior to forecasting directly univariate components process. Conditions equality three forecasts provided.

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