Statistical Analysis and Data Science for Complex Data, 2nd Edition

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

Deadline for manuscript submissions: 31 December 2026 | Viewed by 309

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Guest Editor
Department of Statistics, National Chengchi University, Taipei 116, Taiwan
Interests: graphical models; high-dimensional data analysis; machine learning; measurement error and error classification; survival analysis
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Special Issue Information

Dear Colleagues,

Nowadays, thanks to the rapid development of technology, datasets can be collected easily in many fields, such as biology, manufacturing, etc. Typically, given a dataset, one may encounter situations wherein (i) the sample size is large or (ii) the dimension of variables is large, yielding so-called big data or high-dimensional data, respectively. However, rare samples or variables are informative in data analysis. On the other hand, datasets usually contain complex structures caused by the collection procedure, such as censoring, measurement errors, or missingness. With noisy data, it becomes more challenging to choose informative subdata, detect important variables, or conduct analyses. In light of these challenges, this Special Issue will provide a platform for publishing novel statistical methods and algorithms that handle these complex structures in various research fields. Topics of interest for this Special Issue include biostatistics, bioinformatics, causal inference, statistical process control, and survival analysis.

Dr. Li-pang Chen
Guest Editor

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Keywords

  • algorithm
  • big data
  • high dimensionality
  • noisy data

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Published Papers (1 paper)

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Research

36 pages, 2186 KB  
Article
On a Beta-Gamma Discrete Distribution for Thunderstorm Count Modeling with Risk Analysis
by Tassaddaq Hussain, Enrique Villamor, Mohammad Shakil, Mohammad Ahsanullah and B. M. Golam Kibria
Mathematics 2025, 13(24), 3913; https://doi.org/10.3390/math13243913 - 7 Dec 2025
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Abstract
Risk management is vital for financial institutions to evaluate and mitigate potential losses. Thunderstorm count modeling with risk analysis is used by various sectors, such as insurance and utility companies, to forecast storm recurrence, analyze risk, and estimate financial losses based on factors [...] Read more.
Risk management is vital for financial institutions to evaluate and mitigate potential losses. Thunderstorm count modeling with risk analysis is used by various sectors, such as insurance and utility companies, to forecast storm recurrence, analyze risk, and estimate financial losses based on factors like wind speed, hail size, and tornado potential. This paper introduces a novel discrete distribution, the Beta-Gamma Discrete (BGD) distribution, designed for modeling count data that inherently excludes zero values. Developed through the compounding of a discrete gamma distribution with a beta distribution, the BGD offers significant flexibility in handling overdispersion and complex data characteristics. The study derives key statistical properties of the BGD, including its probability mass function, moments, hazard rate function, moment generating function, and mean residual life. A comprehensive characterization theorem is also established. The model’s practical utility is demonstrated through an application to thunderstorm event data from the Kennedy Space Center (KSC), where the frequency of thunderstorms per event is a critical operational concern. The performance of the BGD is thoroughly assessed against established zero-truncated models—namely, the Zero-Truncated Generalized Poisson (ZTGP), Size-Biased Negative Binomial (SBNB), and Zero-Truncated Generalized Negative Binomial (ZTGNB)—using evaluation criteria such as Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC), Chi-square goodness-of-fit, and the Vuong test. The results consistently show that the BGD provides a superior and more accurate fit for the thunderstorm data, thus help NASA and other space agencies for establishing it as a robust and effective tool for modeling positive count data in meteorological and other applied contexts with risk analysis. Full article
(This article belongs to the Special Issue Statistical Analysis and Data Science for Complex Data, 2nd Edition)
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