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estimated by OLS and that GLS is not possible because the autocorrelation process is unknown and/or because the GLS estimator … would be inconsistent. I show that the autocorrelation process of LP can be written as a Vector Moving Average (VMA) process … of the Wold errors and impulse responses and that autocorrelation can be corrected for using a consistent GLS estimator …
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In this paper we propose a test for a set of linear restrictions in a Vector Autoregressive Moving Average (VARMA) model. This test is based on the autoregressive metric, a notion of distance between two univariate ARMA models, M0 and M1, introduced by Piccolo in 1990. In particular, we show...
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We study the performance of alternative methods for calculating in-sample confidence and out of-sample forecast bands for time-varying parameters. The in-sample bands reflect parameter uncertainty only. The out-of-sample bands reflect both parameter uncertainty and innovation uncertainty. The...
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