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Bootstrap prediction bands for forecast paths from vector autoregressive models

✍ Scribed by Anna Staszewska-Bystrova


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
149 KB
Volume
30
Category
Article
ISSN
0277-6693

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✦ Synopsis


The problem of forecasting from vector autoregressive models has attracted considerable attention in the literature. The most popular non-Bayesian approaches use either asymptotic approximations or bootstrapping to evaluate the uncertainty associated with the forecast. The practice in the empirical literature has been to assess the uncertainty of multi-step forecasts by connecting the intervals constructed for individual forecast periods. This paper proposes a bootstrap method of constructing prediction bands for forecast paths. The bands are constructed from forecast paths obtained in bootstrap replications using an optimization procedure to fi nd the envelope of the most concentrated paths. From extensive Monte Carlo study, it is found that the proposed method provides more accurate assessment of predictive uncertainty from the vector autoregressive model than its competitors.