Reliability Analysis and Statistical Computing

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

Deadline for manuscript submissions: 31 July 2025 | Viewed by 616

Special Issue Editors


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Guest Editor
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Interests: mathematical statistics; experimental design; reliability optimization

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Guest Editor
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA
Interests: change point analysis; causal inference; high dimensional data; empirical likelihood method; time series analysis; survival analysis; sequential analysis
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China
Interests: Industrial statistics; experimental design and reliability optimization

Special Issue Information

Dear Colleagues,

Reliability analysis and statistical computing represent a highly interdisciplinary field that plays a pivotal role in modern engineering, manufacturing, information technology, aerospace, healthcare, and numerous other domains. Research in reliability analysis and statistical computing is crucial for ensuring product quality, enhancing system performance, and preventing failures. Recent advancements in big data, artificial intelligence, and the Internet of Things (IoT) have presented unprecedented opportunities and challenges to the field of reliability analysis and statistical computing. On the one hand, vast amounts of data provide richer information for reliability analysis; on the other hand, complex data structures and dynamic operational environments pose new challenges to traditional reliability assessment methods. Consequently, this Special Issue aims to gather the latest research findings, explore cutting-edge theories and techniques in reliability analysis and statistical computing, and demonstrate their practical applications.

 This Special Issue will focus specifically on the following areas:

  • Reliability Prediction and Statistical Modeling;
  • Failure Modes and Effects Analysis (FMEA);
  • Accelerated Degeneration Test (ADT) and Statistical Analysis;
  • Data-Driven Reliability Assessment and Statistical Computing;
  • Statistical Inference and Reliability Estimation;
  • Reliability Optimization and Algorithm Design;
  • Reliability Management and Maintenance Strategies;
  • Integrated Assessment of Reliability and Safety.

We invite researchers to submit original research papers and high-quality review articles sharing the latest findings and insights in the above areas. All submitted papers will undergo rigorous peer review to ensure scientific rigor, innovation, and practical utility.

Prof. Dr. Yubin Tian
Prof. Dr. Wei Ning
Dr. Dianpeng Wang
Guest Editors

Manuscript Submission Information

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Keywords

  • reliability analysis
  • reliability optimization
  • reliability estimation
  • failure modes and effects analysis (FMEA)
  • accelerated degeneration test (ADT)
  • accelerated life testing (ALT)
  • statistical computing
  • data-driven statistical assessment

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Published Papers (1 paper)

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Research

16 pages, 326 KiB  
Article
Modified Information Criterion for Testing Changes in the Inverse Gaussian Degradation Process
by Jiahua Qiao, Xia Cai and Meiqi Zhang
Mathematics 2025, 13(4), 663; https://doi.org/10.3390/math13040663 - 18 Feb 2025
Viewed by 319
Abstract
The Inverse Gaussian process is a useful stochastic process to model the monotonous degradation process of a certain component. Owing to the phenomenon that the degradation processes often exhibit multi-stage characteristics because of the internal degradation mechanisms and external environmental factors, a change-point [...] Read more.
The Inverse Gaussian process is a useful stochastic process to model the monotonous degradation process of a certain component. Owing to the phenomenon that the degradation processes often exhibit multi-stage characteristics because of the internal degradation mechanisms and external environmental factors, a change-point Inverse Gaussian process is studied in this paper. A modified information criterion method is applied to illustrate the existence and estimate of the change point. A reliability function is derived based on the proposed method. The simulations are conducted to show the performance of the proposed method. As a result, the procedure outperforms the existing procedure with regard to test power and consistency. Finally, the procedure is applied to hydraulic piston pump data to demonstrate its practical application. Full article
(This article belongs to the Special Issue Reliability Analysis and Statistical Computing)
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