Energy Markets Forecasting. From Inferential Statistics to Machine Learning: The German Case

In this work, we investigate a probabilistic method for electricity price forecasting, which overcomes traditional ones. We start considering statistical methods for point forecast, comparing their performance in terms of efficiency, accuracy, and reliability, and we then exploit Neural Networks approaches to derive a hybrid model for probabilistic type forecasting. We show that our solution reaches the highest standard both in terms of efficiency and precision by testing its output on German electricity prices data.

[1]  Jürgen Schmidhuber,et al.  Long Short-Term Memory , 1997, Neural Computation.

[2]  S. Hyakin,et al.  Neural Networks: A Comprehensive Foundation , 1994 .

[3]  Florian Ziel,et al.  Probabilistic mid- and long-term electricity price forecasting , 2017, Renewable and Sustainable Energy Reviews.

[4]  W. Fuller,et al.  Distribution of the Estimators for Autoregressive Time Series with a Unit Root , 1979 .

[5]  R. Weron Electricity price forecasting: A review of the state-of-the-art with a look into the future , 2014 .

[6]  Abdulsalam Yassine,et al.  Big Data Mining of Energy Time Series for Behavioral Analytics and Energy Consumption Forecasting , 2018 .

[7]  Yu Ding,et al.  SPATIO-TEMPORAL SHORT-TERM WIND FORECAST: A CALIBRATED REGIME-SWITCHING METHOD. , 2019, The annals of applied statistics.

[8]  Alex Graves,et al.  Supervised Sequence Labelling , 2012 .

[9]  Jakub Nowotarski,et al.  A hybrid model for GEFCom2014 probabilistic electricity price forecasting , 2016 .

[10]  G. Marsaglia,et al.  The Ziggurat Method for Generating Random Variables , 2000 .

[11]  Siddharth Arora,et al.  Rule-based autoregressive moving average models for forecasting load on special days: A case study for France , 2018, Eur. J. Oper. Res..

[12]  Matteo Frigo,et al.  Gibbs sampling approach to regime switching analysis of financial time series , 2016, J. Comput. Appl. Math..

[13]  Nashat T. AL-Jallad,et al.  Short-Term Forecasting for Energy Consumption through Stacking Heterogeneous Ensemble Learning Model , 2018, Energies.

[14]  Yu Ding,et al.  Data Science for Wind Energy , 2019 .

[15]  PAUL J. WERBOS,et al.  Generalization of backpropagation with application to a recurrent gas market model , 1988, Neural Networks.

[16]  Alaa El. Sagheer,et al.  Time series forecasting of petroleum production using deep LSTM recurrent networks , 2019, Neurocomputing.

[17]  Marcel Prokopczuk,et al.  Prediction of extreme price occurrences in the German day-ahead electricity market , 2016 .

[18]  Michael Y. Hu,et al.  Forecasting with artificial neural networks: The state of the art , 1997 .

[19]  Themistoklis P. Sapsis,et al.  New perspectives for the prediction and statistical quantification of extreme events in high-dimensional dynamical systems , 2018, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[20]  Chris Chatfield,et al.  Fourier Analysis of Time Series: An Introduction , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[21]  R. Weron Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach , 2006 .

[22]  Jakub Nowotarski,et al.  On the importance of the long-term seasonal component in day-ahead electricity price forecasting , 2016, Energy Economics.

[23]  Michael R. Chernick,et al.  Wavelet Methods for Time Series Analysis , 2001, Technometrics.

[24]  Barbara Hammer,et al.  On the approximation capability of recurrent neural networks , 2000, Neurocomputing.

[25]  F. Elfaki,et al.  Application of GARCH Model to Forecast Data and Volatility of Share Price of Energy (Study on Adaro Energy Tbk, LQ45) , 2018 .

[26]  Rafał Weron,et al.  Selection of Calibration Windows for Day-Ahead Electricity Price Forecasting , 2018, Energies.

[27]  C. Chatfield,et al.  Fourier Analysis of Time Series: An Introduction , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[28]  Rafał Weron,et al.  Day-ahead electricity price forecasting with high-dimensional structures: Univariate vs. multivariate modeling frameworks , 2018, 1805.06649.

[29]  R. Shanmugam Introduction to Time Series and Forecasting , 1997 .

[30]  G. Box,et al.  On a measure of lack of fit in time series models , 1978 .

[31]  Craig B. Borkowf,et al.  Random Number Generation and Monte Carlo Methods , 2000, Technometrics.

[32]  Jakub Nowotarski,et al.  Computing electricity spot price prediction intervals using quantile regression and forecast averaging , 2015, Comput. Stat..

[33]  R. Weron,et al.  Recent advances in electricity price forecasting: A review of probabilistic forecasting , 2016 .