Statistics: Theories and Applications

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

Deadline for manuscript submissions: 31 January 2025 | Viewed by 884

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

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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 (1 paper)

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Research

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 473
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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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Estimation of Heritability Using High-Dimensional Kernel Linear Mixed Models
Authors: Xiaoxi Shen; Qing Lu
Affiliation: Xiaoxi Shen, Department of Mathematics, Texas State University, San Marcos, TX, USA Qing Lu, Department of Biostatistics, University of Florida, Gainesville, FL USA
Abstract: Recent studies have shown that genetic heritability is spread across multiple SNPs having contributions to the phenotypic traits. As a consequence, linear mixed models are commonly used in genetic studies and REstricted Maximum Likelihood (REML) estimators are used to produce unbiased estimators for the variance components. However, the relationship between SNPs and phenotypes are complex in general. To address the complex nature of genotype-phenotype relationships, we will first introduce the high-dimensional kernel linear mixed models. The REML equations will be derived followed by a discussion on the consistency of REML estimators and the heritability estimator for some commonly used kernel matrices. The validity of the theories is demonstrated via some simulation studies and real data analyses.

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