Research Progress of Probability Statistics

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

Deadline for manuscript submissions: 28 September 2025 | Viewed by 693

Special Issue Editor


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Guest Editor
School of Mathematics, Nanjing University, Nanjing 210093, China
Interests: quantum computing and quantum artificial intelligence; stochastic network; reflected diffusion approximation; stochastic (asymptotic) optimal control and (stochastic differential) game theory; stochastic (ordinary/partial) differential equations; machine learning and convolutional neural network

Special Issue Information

Dear Colleagues,

This Special Issue covers all aspects of probability and statistics and aims to showcase papers promoting the development of probability and statistics, ranging from their fundamental theory and methodology to their applications. Research papers featuring stochastics in all areas are welcome. This Issue also aims to highlight papers which handle the randomness in real-world systems through probability and statistical techniques. Furthermore, research papers integrating modern technology with stochastic analysis in (but not limited to) artificial intelligence, machine learning, convolutional neural network, communication system, data science, quantum computing, bioinformatics, operations research, finance, etc., are welcome.

Prof. Dr. Wanyang Dai
Guest Editor

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Keywords

  • probability
  • statistics
  • stochastics

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Published Papers (1 paper)

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Research

11 pages, 273 KiB  
Article
Some New Bivariate Properties and Characterizations Under Archimedean Copula
by Qingyuan Guan, Peihua Jiang and Guangyu Liu
Mathematics 2024, 12(23), 3714; https://doi.org/10.3390/math12233714 - 26 Nov 2024
Viewed by 365
Abstract
This paper considers comparing properties and characterizations of the bivariate functions under Archimedean copula. It is shown that some results of the usual stochastic order for the bivariate functions in the independent case are generalized to the Archimedean copula-linked dependent case, and we [...] Read more.
This paper considers comparing properties and characterizations of the bivariate functions under Archimedean copula. It is shown that some results of the usual stochastic order for the bivariate functions in the independent case are generalized to the Archimedean copula-linked dependent case, and we also derive some characterizations of different bivariate functions composed by Archimedean copula-linked dependent random variables. These results generalize some existing results in the literature and bring conclusions closer to reality. Two applications in scheduling problems are also provided to illustrate the main results. Full article
(This article belongs to the Special Issue Research Progress of Probability Statistics)
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