New Perspectives in Mathematical Statistics, 2nd Edition

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 31 December 2025 | Viewed by 409

Special Issue Editors


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Guest Editor
Department of Mathematics, University of North Alabama, Florence, AL, USA
Interests: multivariate statistical analysis; (closed) skew normal distribution; stochastic frontier models under skew normal settings; machine learning and deep learning integration in statistics; copulas theory
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Special Issue Information

Dear Colleagues,

This Special Issue aims to showcase cutting-edge developments and innovative approaches that push the boundaries of traditional methodologies in mathematical statistics. In an era characterized by rapidly advancing technology, increased data complexity, and interdisciplinary collaborations, this Special Issue seeks to highlight new perspectives of mathematical statistics and their role in addressing contemporary challenges. Contributions to this Special Issue will present novel methods, theoretical advancements, and practical applications aimed at advancing the field of mathematical statistics. By emphasizing new perspectives in mathematical statistics, our objective is to inspire researchers to explore unconventional avenues and foster a deeper understanding of statistics and their relevance to modern challenges across various disciplines.

This Special Issue will address a diverse range of topics, including but not limited to Bayesian statistics, statistical analysis for high-dimensional data, nonparametric statistics and distribution-free methods, machine learning integration in statistics, robust statistical inference, spatial statistics, time series analysis, statistical inference, and computational statistics.

We hope that this initiative will be attractive to researchers in the above areas. Researchers are invited to share their insights, methods, and findings, providing an overview of the latest trends and emerging perspectives in mathematical statistics, and we encourage you to submit your current results to be included.

Dr. Xiaonan Zhu
Prof. Dr. Jong-Min Kim
Guest Editors

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Keywords

  • Bayesian statistics
  • statistical analysis for high-dimensional data
  • nonparametric statistics
  • distribution-free methods
  • machine learning
  • robust statistics
  • spatial statistics
  • time series analysis
  • statistical inference
  • computational statistics

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Published Papers (1 paper)

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Research

26 pages, 478 KiB  
Article
Treatment Effect Estimation in Survival Analysis Using Copula-Based Deep Learning Models for Causal Inference
by Jong-Min Kim
Axioms 2025, 14(6), 458; https://doi.org/10.3390/axioms14060458 - 10 Jun 2025
Viewed by 318
Abstract
This paper presents the use of Copula-based deep learning with Horvitz–Thompson (HT) weights and inverse probability of treatment weighting (IPTW) for estimating propensity scores in causal inference problems. This study compares the performance of the statistical methods—Copula-based deep learning with HT and IPTW [...] Read more.
This paper presents the use of Copula-based deep learning with Horvitz–Thompson (HT) weights and inverse probability of treatment weighting (IPTW) for estimating propensity scores in causal inference problems. This study compares the performance of the statistical methods—Copula-based deep learning with HT and IPTW weights, propensity score matching (PSM), and logistic regression—in estimating the treatment effect (ATE) using both simulated and real-world data. Our results show that the Copula-based recurrent neural network (RNN) with the method of HT weights provides the most precise and robust treatment effect estimate, with narrow confidence intervals indicating high confidence in the results. The PSM model yields the largest treatment effect estimate, but with greater uncertainty, suggesting sensitivity to data imbalances. In contrast, logistic regression and causal forests produce a substantially smaller estimate, potentially underestimating the treatment effect, particularly in structured datasets such as COMPAS scores. Overall, copula-based methods (HT and IPTW) tend to produce higher and more precise estimates, making them effective choices for treatment effect estimation in complex settings. Our findings emphasize the importance of method selection based on both the magnitude and precision of the treatment effect for accurate analysis. Full article
(This article belongs to the Special Issue New Perspectives in Mathematical Statistics, 2nd Edition)
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