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Many applications in different domains produce large amount of time series data. Making accurate forecasting is critical for many decision makers. Various time series forecasting methods exist which use linear and nonlinear models…

Machine Learning · Computer Science 2019-07-19 Ümit Çavuş Büyükşahin , Şeyda Ertekin

By significant improvements in modern electrical systems, planning for unit commitment and power dispatching of them are two big concerns between the researchers. Short-term load forecasting plays a significant role in planning and…

Statistical Finance · Quantitative Finance 2020-10-01 Kasun Chandrarathna , Arman Edalati , AhmadReza Fourozan tabar

In this article, we introduce a Gegenbauer autoregressive tempered fractionally integrated moving average (GARTFIMA) process. We work on the spectral density and autocovariance function for the introduced process. The parameter estimation…

Statistics Theory · Mathematics 2022-08-31 Niharika Bhootna , Arun Kumar

Threshold autoregressive moving-average (TARMA) models are popular in time series analysis due to their ability to parsimoniously describe several complex dynamical features. However, neither theory nor estimation methods are currently…

Methodology · Statistics 2022-11-16 Greta Goracci , Davide Ferrari , Simone Giannerini , Francesco ravazzolo

Producing probabilistic guarantee for several steps of a predicted signal follow a temporal logic defined behavior has its rising importance in monitoring. In this paper, we derive a method to compute the joint probability distribution of…

Systems and Control · Computer Science 2019-01-15 Xin Qin , Jyotirmoy V. Deshmukh

Accurate precipitation nowcasting over extended horizons (0-3 hours) is essential for disaster mitigation and operational decision-making, yet remains a critical challenge in the field. Existing deterministic approaches are predominantly…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Chunlei Shi , Cui Wu , Xiang Xu , Hao Li , Ni Fan , Xue Han , Yongchao Feng , Yufeng Zhu , Boyu Liu , Zengliang Zang , Hongbin Wang , Yanlan Yang , Dan Niu

Zero inflation is a common nuisance while monitoring disease progression over time. This article proposes a new observation driven model for zero inflated and over-dispersed count time series. The counts given the past history of the…

Statistics Theory · Mathematics 2021-05-14 Vurukonda Sathish , Siuli Mukhopadhyay , Rashmi Tiwari

In the copula-based approach to univariate time series modeling, the finite dimensional temporal dependence of a stationary time series is captured by a copula. Recent studies investigate how copula-based time series models can be…

Methodology · Statistics 2026-04-03 Sven Pappert , Harry Joe

The statistical modeling of space-time extremes in environmental applications is key to understanding complex dependence structures in original event data and to generating realistic scenarios for impact models. In this context of…

Methodology · Statistics 2019-05-16 Jean-Noel Bacro , Carlo Gaetan , Thomas Opitz , Gwladys Toulemonde

Two-dimensional (2-D) autoregressive moving average (ARMA) models are commonly applied to describe real-world image data, usually assuming Gaussian or symmetric noise. However, real-world data often present non-Gaussian signals, with…

Methodology · Statistics 2022-08-09 B. G. Palm , F. M. Bayer , R. J. Cintra

In this paper we consider portmanteau tests for testing the adequacy of multiplicative seasonal autoregressive moving-average (SARMA) models under the assumption that the errors are uncorrelated but not necessarily independent.We relax the…

Statistics Theory · Mathematics 2019-02-11 Yacouba Boubacar Maïnassara , Abdoulkarim Ilmi Amir

The increasing complexity of supply chains and the rising costs associated with defective or substandard goods (bad goods) highlight the urgent need for advanced predictive methodologies to mitigate risks and enhance operational efficiency.…

Machine Learning · Computer Science 2025-06-10 Bishwajit Prasad Gond

It is essential to find solar predictive methods to massively insert renewable energies on the electrical distribution grid. The goal of this study is to find the best methodology allowing predicting with high accuracy the hourly global…

Machine Learning · Computer Science 2013-09-20 Cyril Voyant , C. Darras , Marc Muselli , Christophe Paoli , Marie Laure Nivet , Philippe Poggi

In this work we introduce the class of beta autoregressive fractionally integrated moving average models for continuous random variables taking values in the continuous unit interval $(0,1)$. The proposed model accommodates a set of…

Stationary processes have been extensively studied in the literature. Their applications include modeling and forecasting numerous real life phenomena such as natural disasters, sales and market movements. When stationary processes are…

Statistics Theory · Mathematics 2018-01-10 Marko Voutilainen , Lauri Viitasaari , Pauliina Ilmonen

We consider the problem of power demand forecasting in residential micro-grids. Several approaches using ARMA models, support vector machines, and recurrent neural networks that perform one-step ahead predictions have been proposed in the…

Neural and Evolutionary Computing · Computer Science 2017-06-30 Riccardo Bonetto , Michele Rossi

In this paper, we propose a novel variable selection approach in the framework of sparse high-dimensional GLARMA models. It consists in combining the estimation of the autoregressive moving average (ARMA) coefficients of these models with…

Statistics Theory · Mathematics 2019-10-14 Céline Lévy-Leduc , Sarah Ouadah , Laure Sansonnet

The increasing use of renewable energy sources with variable output, such as solar photovoltaic and wind power generation, calls for Smart Grids that effectively manage flexible loads and energy storage. The ability to forecast consumption…

Machine Learning · Computer Science 2014-04-02 Andreas Veit , Christoph Goebel , Rohit Tidke , Christoph Doblander , Hans-Arno Jacobsen

Educational institutions are essential for economic and social development. Budget cuts in Brazil in recent years have made it difficult to carry out their activities and projects. In the case of expenses with water and electricity,…

We propose a Weighted Autoregressive Varying gatE (WAVE) attention mechanism equipped with both Autoregressive (AR) and Moving-average (MA) components. It can adapt to various attention mechanisms, enhancing and decoupling their ability to…

Machine Learning · Computer Science 2026-02-06 Jiecheng Lu , Xu Han , Yan Sun , Shihao Yang