Advanced Mathematical and Statistical Methods for Modern Data Science and Scientific Machine Learning

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 330

Editors

Department of Statistics, Beijing Normal University, Zhuhai 519087, China
Interests: multiple testing; watermark in LLM; statistical computing; bioinformatics

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Guest Editor
Department of Mathematics, University of California, Los Angeles, CA 90095, USA
Interests: approximation theory; high-dimensional probability; scientific machine learning; data science

Special Issue Information

Dear Colleagues,

The rapid advancement of data acquisition technologies has led to the proliferation of high-dimensional and complex datasets across diverse scientific and engineering disciplines. As the scale and intricacy of data increase, the traditional boundaries between mathematical theory, statistical inference, and computational algorithms are becoming increasingly porous. To effectively model, analyze, and interpret real-world phenomena, it is now essential to bridge the gap between rigorous mathematical foundations and practical computational strategies.

This Special Issue seeks high-quality contributions that address the theoretical and computational challenges inherent in modern data science. We invite authors to submit original research and review articles that advance the development of statistical methodologies, approximation techniques, and probabilistic models. We welcome submissions proposing novel theoretical frameworks or demonstrating significant applications in fields ranging from the life sciences to artificial intelligence.

Dr. Guanxun Li
Dr. Chunyang Liao
Guest Editors

Manuscript Submission Information

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Keywords

  • artificial intelligence
  • approximation theory
  • bayesian inference
  • bioinformatics
  • computational inference
  • data science
  • high-dimensional probability
  • large language models
  • MCMC
  • multiple testing
  • probabilistic modeling
  • scientific machine learning
  • statistical computing

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Published Papers (1 paper)

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Research

18 pages, 1278 KB  
Article
Power Rayleigh Accelerated Life Model Inference with Censoring: Methods and Applications
by Abdelfattah Mustafa, Areej Almuneef, Zuhur Alqahtani, Raga Hassan Ali Shiekh and Samah M. Ahmed
Mathematics 2026, 14(13), 2447; https://doi.org/10.3390/math14132447 (registering DOI) - 7 Jul 2026
Abstract
In reliability engineering research, obtaining accurate information about the life expectancy of products or materials is essential. However, collecting such data under normal operating conditions is often challenging, particularly for highly reliable items. This paper addresses the problem of statistical inference for lifetime [...] Read more.
In reliability engineering research, obtaining accurate information about the life expectancy of products or materials is essential. However, collecting such data under normal operating conditions is often challenging, particularly for highly reliable items. This paper addresses the problem of statistical inference for lifetime data following the power Rayleigh distribution. To reduce experimental cost and time, a partially step-stress-accelerated life test is employed under a Type-I generalized hybrid censoring scheme (GHCS). Point estimators of the model parameters, as well as the acceleration factor, are derived using both maximum likelihood and Bayesian approaches. Furthermore, interval estimation is developed based on the asymptotic normality of maximum likelihood estimators, in addition to a bootstrap method and Markov-chain Monte Carlo techniques. A real-life dataset is analyzed to demonstrate the applicability of the proposed model. Finally, a Monte Carlo simulation study is conducted to evaluate and compare the performance of the suggested model and estimation procedures. Full article
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