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2007

Long memory

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Full-Text Articles in Economics

Long Run Covariance Matrices For Fractionally Integrated Processes, Peter C.B. Phillips, Chang Sik Kim Jun 2007

Long Run Covariance Matrices For Fractionally Integrated Processes, Peter C.B. Phillips, Chang Sik Kim

Cowles Foundation Discussion Papers

An asymptotic expansion is given for the autocovariance matrix of a vector of stationary long-memory processes with memory parameters d satisfying 0 < d < 1/2. The theory is then applied to deliver formulae for the long run covariance matrices of multivariate time series with long memory.