Statistics: Theories and Applications

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

Deadline for manuscript submissions: 10 August 2025 | Viewed by 2050

Special Issue Editors


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Guest Editor
Mathematics & Statistics Department, The University of North Carolina at Charlotte, Charlotte, NC 28223, USA
Interests: Bayesian statistics; financial econometrics; interval estimation and hypothesis testing; quality control; quantile regression; statistical learning with big data; survival analysis; regression diagnostics; time series analysis
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Mathematics & Statistics Department, The University of North Carolina at Charlotte, Charlotte, NC 28223, USA
Interests: statistical methods for pairwise distance-based analysis and applications; statistical and computational methods for the analysis of genetics/genomics data, including investigations of gene–gene/gene–environment interactions; genome-wide association studies, systems biology, and epigenome-wide association studies; statistical design for health studies; identification of cell-specific transcriptional variations associated with human diseases

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Guest Editor
School of Mathematics and Statistics, Yunnan University, Kunming 650091, China
Interests: Bayesian statistics; empirical likelihood; nonparametric inference; high-dimensional data analysis; longitudinal data analysis; quantile regression; structural equation models
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We are excited to introduce a Special Issue focusing on “Statistics: Theories and Applications.” Today, the field of statistics is experiencing rapid growth fueled by emerging mathematical theories, technological innovations, fresh data streams stemming from contemporary challenges, and numerous connections forged between theory and application. The utilization of statistical theories and applications has become pervasive across various domains including actuarial science, biometrics, biomedical engineering, econometrics, environmental science, and financial markets. This Special Issue aims to highlight the significance and impact of statistics and its application, showcasing the latest advancements in statistical analysis, modeling, learning, and practical implementation. Topics include, but are not limited to, new developments in the following:

  • Bayesian statistics;
  • Model validation;
  • Financial econometrics;
  • Interval estimation and hypothesis testing;
  • Quality control;
  • Quantile regression—univariate and multivariate;
  • Semi- and nonparametric modeling;
  • Statistical learning with big data;
  • Survival analysis;
  • Genetics;
  • Time series analysis—univariate and multivariate;
  • Distributed/parallel computing.

Prof. Dr. Jiancheng Jiang
Dr. Shaoyu Li
Prof. Dr. Niansheng Tang
Guest Editors

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Keywords

  • Bayesian statistics
  • distributed computing
  • variable selection
  • nonparametric smoothing
  • financial time series analysis
  • analysis of genetics data
  • high-dimensional data
  • AI-assisted model validation

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Published Papers (2 papers)

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Research

23 pages, 394 KiB  
Article
Variable Selection for Generalized Single-Index Varying-Coefficient Models with Applications to Synergistic G × E Interactions
by Shunjie Guan, Xu Liu and Yuehua Cui
Mathematics 2025, 13(3), 469; https://doi.org/10.3390/math13030469 - 31 Jan 2025
Viewed by 465
Abstract
Complex diseases such as type 2 diabetes are influenced by both environmental and genetic risk factors, leading to a growing interest in identifying gene–environment (G × E) interactions. A three-step variable selection method for single-index varying-coefficients models was proposed in recent research. This [...] Read more.
Complex diseases such as type 2 diabetes are influenced by both environmental and genetic risk factors, leading to a growing interest in identifying gene–environment (G × E) interactions. A three-step variable selection method for single-index varying-coefficients models was proposed in recent research. This method selects varying and constant-effect genetic predictors, as well as non-zero loading parameters, to identify genetic factors that interact linearly or nonlinearly with a mixture of environmental factors to influence disease risk. In this paper, we extend this approach to a binary response setting given that many complex human diseases are binary traits. We also establish the oracle property for our variable selection method, demonstrating that it performs as well as if the correct sub-model were known in advance. Additionally, we assess the performance of our method through finite-sample simulations with both continuous and discrete gene variables. Finally, we apply our approach to a type 2 diabetes dataset, identifying potential genetic factors that interact with a combination of environmental variables, both linearly and nonlinearly, to influence the risk of developing type 2 diabetes. Full article
(This article belongs to the Special Issue Statistics: Theories and Applications)
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14 pages, 544 KiB  
Article
A Threshold Estimator for Ruin Probability Using the Fourier-Cosine Method in the Wiener–Poisson Risk Model
by Chongkai Xie and Honglong You
Mathematics 2024, 12(18), 2945; https://doi.org/10.3390/math12182945 - 22 Sep 2024
Viewed by 757
Abstract
In this paper, we propose a nonparametric estimator of ruin probability in the Wiener–Poisson risk model based on high-frequency data. The estimator is constructed via the Fourier-cosine method and the threshold technique, and the convergence rate is also studied for a large sample [...] Read more.
In this paper, we propose a nonparametric estimator of ruin probability in the Wiener–Poisson risk model based on high-frequency data. The estimator is constructed via the Fourier-cosine method and the threshold technique, and the convergence rate is also studied for a large sample size. Finally, we verify the effectiveness of our estimator through some simulation studies. Full article
(This article belongs to the Special Issue Statistics: Theories and Applications)
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