New Advances in Computational Statistics and Extreme Value Theory

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D1: Probability and Statistics".

Deadline for manuscript submissions: 31 July 2026 | Viewed by 683

Special Issue Editor


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Guest Editor
Department of Mathematics, Mahasarakham University, Maha Sarakham 44150, Thailand
Interests: extreme value theory; statistical meteorology; statistical hydrology; statistical process control; machine learning

Special Issue Information

Dear Colleagues,

Recent years have witnessed rapid advances in computational statistics and extreme value theory (EVT), driven by growing demands for robust statistical methods to address challenges in climate science, hydrology, finance, engineering, and other applied domains. Developments in high-performance computing, simulation-based methods, and machine learning techniques have opened new opportunities for modeling, estimation, and inference, particularly in analyzing rare events and extremes with significant real-world impacts.

This Special Issue aims to bring together original research articles, methodological developments, and comprehensive reviews that highlight the synergy between computational statistics and EVT. We are particularly interested in contributions that introduce innovative algorithms, computational frameworks, and hybrid approaches to tackle problems involving extremes, dependence structures, and uncertainty quantification. Applications that demonstrate the practical utility of these methods across disciplines—ranging from risk assessment, climate and hydrological extremes, environmental and financial modeling, to industrial process control—are strongly encouraged.

Potential topics include, but are not limited to, the following:

  • Advances in computational methods for EVT and order statistics;
  • Copula-based multivariate modeling of extremes;
  • Simulation, resampling, and Bayesian methods for rare-event analysis;
  • Ensemble machine learning and AI-driven approaches to extremes;
  • Applications in hydrology, meteorology, climate risk, and finance;
  • Uncertainty quantification and risk assessment for decision support.

We warmly invite researchers to contribute to this Special Issue and share their latest findings at the interface of computational statistics and extreme value theory.

Dr. Piyapatr Busababodhin
Guest Editor

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Keywords

  • computational statistics
  • extreme value theory
  • copula models
  • order statistics
  • bayesian methods
  • machine learning for extremes
  • risk assessment
  • hydrology and climate applications

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Published Papers (2 papers)

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Research

21 pages, 6295 KB  
Article
Spatio-Temporal Extreme Value Modeling of Extreme Rainfall over the Korean Peninsula Incorporating Typhoon Influence
by Taeyong Kwon, Bugeon Lee, Thanawan Prahadchai and Sanghoo Yoon
Mathematics 2025, 13(24), 3915; https://doi.org/10.3390/math13243915 - 7 Dec 2025
Viewed by 197
Abstract
This study models the spatiotemporal heterogeneity of extreme rainfall over the Korean Peninsula using the generalised additive extreme value models (EVGAM) to address the limitations of traditional stationary approaches under climate change. Analyzing 30 years of daily precipitation data (1995–2024), we conducted a [...] Read more.
This study models the spatiotemporal heterogeneity of extreme rainfall over the Korean Peninsula using the generalised additive extreme value models (EVGAM) to address the limitations of traditional stationary approaches under climate change. Analyzing 30 years of daily precipitation data (1995–2024), we conducted a comparative analysis between typhoon-inclusive and non-typhoon scenarios to isolate the meteorological drivers of extremes. The results revealed distinct covariate dependencies: while spatial location (latitude and longitude) governs rainfall variability in non-typhoon conditions, elevation emerged as the critical determinant for the scale parameter during typhoon events, highlighting the role of orographic effects. Furthermore, the shape parameter exhibited multi-decadal oscillations corresponding to climate variability indices. To ensure local accuracy, a dual fitting strategy was implemented, supplementing EVGAM with standalone generalized extreme value (GEV) estimation for stations exhibiting poor goodness-of-fit. The resulting 50-year and 100-year return level maps quantify regional risks, identifying the southern coast as a high-vulnerability zone driven by typhoons, while inland basins benefited from orographic shielding. This comprehensive framework provides a robust scientific basis for adaptive water resource management and infrastructure design. Full article
(This article belongs to the Special Issue New Advances in Computational Statistics and Extreme Value Theory)
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15 pages, 566 KB  
Article
A Refined Regression Estimator for General Inverse Adaptive Cluster Sampling
by Nipaporn Chutiman, Supawadee Wichitchan, Chawalit Boonpok, Monchaya Chiangpradit and Pannarat Guayjarernpanishk
Mathematics 2025, 13(23), 3751; https://doi.org/10.3390/math13233751 - 22 Nov 2025
Viewed by 204
Abstract
Adaptive cluster sampling (ACS) is a sampling technique commonly used for rare populations that exhibit spatial clustering. However, the initially selected sample units may not always satisfy the specified inclusion condition. To address these limitations, general inverse sampling has been incorporated into ACS, [...] Read more.
Adaptive cluster sampling (ACS) is a sampling technique commonly used for rare populations that exhibit spatial clustering. However, the initially selected sample units may not always satisfy the specified inclusion condition. To address these limitations, general inverse sampling has been incorporated into ACS, in which the initial units are sequentially selected, and a termination criterion is applied to control the number of rare elements drawn from the population. The objective of this study is to develop an estimator of the population mean that incorporates auxiliary information within the framework of general inverse adaptive cluster sampling (GI-ACS). The proposed estimator is constructed based on a regression-type estimator and analytically examined. A simulation study was conducted to validate the theoretical findings. Three scenarios were considered, representing low, moderate, and high correlations between the variable of interest and the auxiliary variable. The simulation results indicate that the proposed estimator achieves lower variance than the GI-ACS estimator that does not utilize auxiliary information across all examined correlation scenarios. Therefore, the proposed estimator is more efficient and preferable when auxiliary variables are available. Full article
(This article belongs to the Special Issue New Advances in Computational Statistics and Extreme Value Theory)
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