Statistical Modelling and Time Series Analysis: Theory and Multidisciplinary Application

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 28 February 2026 | Viewed by 403

Special Issue Editor


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Guest Editor
Department of Mathematics, Saint Joseph’s University, Philadelphia, PA, USA
Interests: machine learning; deep learning; time series classification; time series forecasting; parametric/non-parametric/bayesian analysis and modeling

Special Issue Information

Dear Colleagues,

We are pleased to invite you to contribute to a Special Issue focused on Statistical Modelling and Time Series Analysis, with an emphasis on both theoretical innovation and multidisciplinary applications. This issue aims to serve as a platform for the exchange of novel ideas, methodologies, and applied research that address the complexities of modeling time-dependent phenomena.

In recent decades, time series analysis and statistical modelling have become increasingly vital across scientific disciplines. With the explosive growth of data collection in areas such as climate science, epidemiology, finance, engineering, and social behavior, the need for robust, interpretable, and scalable methods has never been greater.

Traditional models, while foundational, are often challenged by modern datasets that are high-dimensional, non-linear, irregularly sampled, or exhibit structural breaks and dependencies over time. At the same time, advances in computational power and machine learning have opened new avenues for dynamic modelling, real-time forecasting, and data fusion from heterogeneous sources.

This Special Issue seeks to spotlight these developments, highlighting both the theoretical underpinnings and practical impact of state-of-the-art methods in time series analysis and statistical modelling.

We welcome original research articles, comprehensive reviews, and case studies that address the following:

  • Development of new statistical models for time series data;
  • Estimation and inference techniques for dynamic models;
  • Bayesian, frequentist, and hybrid methodologies;
  • Time series forecasting, signal extraction, and trend analysis;
  • Multivariate and spatial–temporal modelling approaches;
  • Machine learning and AI-driven methods applied to time series;
  • Applications in economics, climate science, epidemiology, health, engineering, and more;
  • Software tools, computational strategies, and reproducible research.

This Special Issue is designed to bridge the gap between theory and practice by encouraging contributions that not only advance statistical methodologies but also demonstrate their relevance through real-world applications. Our goal is to foster interdisciplinary collaboration and to underline the pivotal role of time series analysis and statistical modelling in solving contemporary scientific and societal challenges.

All submissions will be peer reviewed to ensure high standards of academic rigor and innovation.

We look forward to receiving your contributions.

Dr. Abolfazl Saghafi
Guest Editor

Manuscript Submission Information

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Keywords

  • machine learning
  • statistical modeling
  • time series analysis
  • time series classification
  • forecasting
  • risk analysis
  • time-varying parameters
  • temporal data mining
  • signal processing
  • computational analysis

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Published Papers (1 paper)

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Research

15 pages, 2246 KiB  
Article
DSC-CBAM-BiLSTM: A Hybrid Deep Learning Framework for Robust Short-Term Photovoltaic Power Forecasting
by Aiwen Shen, Yunqi Lin, Yiran Peng, KinTak U and Siyuan Zhao
Mathematics 2025, 13(16), 2581; https://doi.org/10.3390/math13162581 - 12 Aug 2025
Viewed by 235
Abstract
To address the challenges of photovoltaic (PV) power prediction in highly dynamic environments. We propose an improved Long Short-Term Memory (ILSTM) model. The model uses Principal Component Analysis (PCA) and Particle Swarm Optimization (PSO) for feature selection, ensuring key information is preserved while [...] Read more.
To address the challenges of photovoltaic (PV) power prediction in highly dynamic environments. We propose an improved Long Short-Term Memory (ILSTM) model. The model uses Principal Component Analysis (PCA) and Particle Swarm Optimization (PSO) for feature selection, ensuring key information is preserved while reducing dimensionality. The Depthwise Separable Convolution (DSC) module extracts spatial features, while the Channel-Spatial Attention Mechanism (CBAM) focuses on important time-dependent patterns. Finally, Bidirectional Long Short-Term Memory (BiLSTM) captures nonlinear dynamics and long-term dependencies, boosting prediction performance. The model is called DSC-CBAM-BiLSTM. It selects important features adaptively. It captures key spatial-temporal patterns and improves forecasting performance based on RMSE, MAE, and R2. Extensive experiments using real-world PV datasets under varied meteorological scenarios show the proposed model significantly outperforms traditional approaches. Specifically, RMSE and MAE are reduced by over 70%, and the coefficient of determination (R2) is improved by 8.5%. These results confirm the framework’s effectiveness for real-time, short-term PV forecasting and its applicability in energy dispatching and smart grid operations. Full article
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