Bootstrap prediction bands for forecast paths from vector autoregressive models

Bootstrap prediction bands for forecast paths from vector autoregressive models

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Article ID: iaor201112534
Volume: 30
Issue: 8
Start Page Number: 721
End Page Number: 735
Publication Date: Dec 2011
Journal: Journal of Forecasting
Authors:
Keywords: literature survey, Statistics: bootstrap, autoregressive process
Abstract:

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 find 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.

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