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A bootstrap procedure for constructing prediction bands for a stationary functional time series is proposed. The procedure exploits a general vector autoregressive representation of the time-reversed series of Fourier coefficients appearing…

Statistics Theory · Mathematics 2023-07-17 Efstathios Paparoditis , Han Lin Shang

We introduce a general, simple, and computationally efficient framework for predicting day-ahead supply and demand merit-order curves, from which both point and probabilistic electricity price forecasts can be derived. We conduct a rigorous…

Applications · Statistics 2026-01-12 Guillaume Koechlin , Filippo Bovera , Piercesare Secchi

The increasing interest in spatially correlated functional data has led to the development of appropriate geostatistical techniques that allow to predict a curve at an unmonitored location using a functional kriging with external drift…

Methodology · Statistics 2017-06-23 Maria Franco-Villoria , Rosaria Ignaccolo

Accurate predictions of electricity demands are necessary for managing operations in a small aggregation load setting like a Microgrid. Due to low aggregation, the electricity demands can be highly stochastic and point estimates would lead…

Machine Learning · Computer Science 2025-11-10 Rohit Dube , Natarajan Gautam , Amarnath Banerjee , Harsha Nagarajan

In this paper, statistical machine learning algorithms, as well as deep neural networks, are used to predict the values of the price gap between day-ahead and real-time electricity markets. Several exogenous features are collected and…

Systems and Control · Electrical Eng. & Systems 2020-12-24 Nika Nizharadze , Arash Farokhi Soofi , Saeed D. Manshadi

Accurate day-ahead electricity price forecasting is essential for residential welfare, yet current methods often fall short in forecast accuracy. We observe that commonly used time series models struggle to utilize the prior correlation…

Machine Learning · Computer Science 2024-08-20 Linian Wang , Jianghong Liu , Huibin Zhang , Leye Wang

We propose a function-on-function linear regression model for time-dependent curve data that is consistently estimated by imposing factor structures on the regressors. An integral operator based on cross-covariances identifies two…

Econometrics · Economics 2025-08-08 Sven Otto , Luis Winter

Intraday financial data often take the form of a collection of curves that can be observed sequentially over time, such as intraday stock price curves. These curves can be viewed as a time series of functions observed on equally spaced and…

Methodology · Statistics 2023-05-29 Han Lin Shang , Kaiying Ji

In this paper we present a regression based model for day-ahead electricity spot prices. We estimate the considered linear regression model by the lasso estimation method. The lasso approach allows for many possible parameters in the model,…

Statistical Finance · Quantitative Finance 2016-10-26 Florian Ziel

We propose a novel machine learning approach for probabilistic forecasting of hourly day-ahead electricity prices. In contrast with the recent advances in data-rich probabilistic forecasting, which approximates distributions with few…

General Economics · Economics 2025-07-04 Jozef Barunik , Lubos Hanus

Power systems operate under uncertainty originating from multiple factors that are impossible to account for deterministically. Distributional forecasting is used to control and mitigate risks associated with this uncertainty. Recent…

Machine Learning · Computer Science 2024-10-07 Slawek Smyl , Boris N. Oreshkin , Paweł Pełka , Grzegorz Dudek

The bootstrap procedure has emerged as a general framework to construct prediction intervals for future observations in autoregressive time series models. Such models with outlying data points are standard in real data applications,…

Methodology · Statistics 2020-11-17 Ufuk Beyaztas , Han Lin Shang

Probabilistic electricity price forecasting (PEPF) is vital for short-term electricity markets, yet the multivariate nature of day-ahead prices - spanning 24 consecutive hours - remains underexplored. At the same time, real-time…

Machine Learning · Statistics 2026-04-27 Simon Hirsch

Electricity price signals in modern power systems exhibit complex dependence structures that render forecasting inherently challenging. Our analysis of real-world pricing signals from the California Independent System Operator (CAISO)…

Applications · Statistics 2026-05-28 Keyi Wang , Jiaxiang Ji , Mahan Mansouri , Ahmed Aziz Ezzat

We present two machine learning frameworks for forecasting aggregated curves and optimizing storage in the EPEX SPOT day-ahead market. First, a fast parametric model forecasts hourly demand and supply curves in a low-dimensional and…

Machine Learning · Computer Science 2026-01-29 Julian Gutierrez , Redouane Silvente

Daily electricity consumption forecasting is a classical problem. Existing forecasting algorithms tend to have decreased accuracy on special dates like holidays. This study decomposes the daily electricity consumption series into three…

Machine Learning · Computer Science 2023-10-25 Zhou Lan , Ben Liu , Yi Feng , Danhuang Dong , Peng Zhang

We consider forecasting functional time series of extreme values within a generalised extreme value distribution (GEV). The GEV distribution can be characterised using the three parameters (location, scale and shape). As a result, the…

Methodology · Statistics 2020-12-22 Han Lin Shang , Ruofan Xu

While the field of electricity price forecasting has benefited from plenty of contributions in the last two decades, it arguably lacks a rigorous approach to evaluating new predictive algorithms. The latter are often compared using unique,…

Applications · Statistics 2022-04-07 Jesus Lago , Grzegorz Marcjasz , Bart De Schutter , Rafał Weron

Experience curves are widely used to predict the cost benefits of increasing the deployment of a technology. But how good are such forecasts? Can one predict their accuracy a priori? In this paper we answer these questions by developing a…

An approach is presented for making predictions about functional time series. The method is applied to data coming from periodically correlated processes and electricity demand, obtaining accurate point forecasts and narrow prediction bands…

Methodology · Statistics 2018-06-29 Antonio Elías , Raúl Jiménez
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