Construction of an informative hierarchical prior for a small sample with the help of historical data and application to electricity load forecasting

Tristan Launay, Anne Philippe () and Sophie Lamarche

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2015, vol. 24, issue 2, 385 pages

Abstract: We are interested in the estimation and prediction of a parametric model on a short dataset upon which it is expected to overfit and perform badly. To overcome the lack of data (relatively to the dimension of the model), we propose the construction of an informative hierarchical Bayesian prior based on another longer dataset which is assumed to share some similarities with the original, short dataset. We illustrate the performance of our prior on simulated datasets from two standard models. We then apply the methodology to a working model for the electricity load forecasting on real datasets, where it leads to a substantial improvement of the quality of the predictions. Copyright Sociedad de Estadística e Investigación Operativa 2015

Keywords: Informative prior; Hierarchical prior; MCMC algorithms; Short dataset; Electricity load forecasting; 62F15; 62J02; 62P30 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s11749-014-0416-0

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