Designing multi-model applications with surrogate forecast systems
Leonard A. Smith,
Hailiang Du and
Sarah Higgins
LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library
Abstract:
Probabilistic forecasting is common in a wide variety of fields including geoscience, social science, and finance. It is sometimes the case that one has multiple probability forecasts for the same target.How is the information in these multiple nonlinear forecast systems best "combined"? Assuming stationarity, in the limit of a very large forecast-outcome archive, each model-based probability density function can be weighted to form a "multimodel forecast" that will, in expectation, provide at least as much information as the most informative single model forecast system. If one of the forecast systems yields a probability distribution that reflects the distribution from which the outcome will be drawn, Bayesian model averaging will identify this forecast system as the preferred system in the limit as the number of forecast-outcome pairs goes to infinity. In many applications, like those of seasonal weather forecasting, data are precious; the archive is often limited to fewer than 26 entries. In addition, no perfect model is in hand. It is shown that in this case forming a single "multimodel probabilistic forecast" can be expected to provemisleading. These issues are investigated in the surrogatemodel (here a forecast system) regime,where using probabilistic forecasts of a simplemathematical systemallowsmany limiting behaviors of forecast systems to be quantified and compared with those undermore realistic conditions.
JEL-codes: C1 (search for similar items in EconPapers)
Pages: 17 pages
Date: 2020-06-01
New Economics Papers: this item is included in nep-ecm and nep-for
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Citations:
Published in Monthly Weather Review, 1, June, 2020, 148(6), pp. 2233 - 2249. ISSN: 0027-0644
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