Stochastic Modeling and Analysis with Multiple Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: closed (25 July 2024) | Viewed by 1872

Special Issue Editors


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Guest Editor
Department of Mathematics, Guizhou University, Guiyang 550025, China
Interests: fractional calculus; fractals; stochastic analysis

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Guest Editor
Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China
Interests: fractal fractional-based epidemic model; applied mathematics; probability analysis; stochastic modeling
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Special Issue Information

Dear Colleagues,

The results and applications of stochastic models, which try to characterize systems susceptible to random disturbances, are the main areas of attention. Although stochastic models are widely used in science at present, they are occasionally constructed using strong assumptions that may restrict their practical applications. Here, new models built on non-classical premises are particularly valued. With a focus on applications relating to complex systems and tough study areas, we seek out research based on rigorous mathematical techniques and algorithmic, statistical, and computational methodologies. Researchers are invited to submit publications on all areas of stochastic modelling. While researchers in adjacent fields are encouraged to use their tools to address stochastic problems, researchers in stochastic modelling can demonstrate solutions that may have wider applications. We cordially welcome original submissions that focus on theory and/or applications.

Dr. Qura Tul Ain
Dr. Anwarud Din
Guest Editors

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Keywords

  • probability theory
  • stochastic models
  • Markov and semi-Markov models
  • stochastic epidemiology
  • information theory
  • machine learning

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Published Papers (1 paper)

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Research

14 pages, 341 KiB  
Article
Tsallis Entropy for the Past Lifetime Distribution with Application
by Mohamed Kayid and Mashael A. Alshehri
Axioms 2023, 12(8), 731; https://doi.org/10.3390/axioms12080731 - 27 Jul 2023
Cited by 4 | Viewed by 1182
Abstract
A fundamental factor in relevant applications is the predictability of the life cycle of a coherent system consisting of more than one component. In this context, we examine how entropy can be applied to evaluate the degree of predictability. In particular, in order [...] Read more.
A fundamental factor in relevant applications is the predictability of the life cycle of a coherent system consisting of more than one component. In this context, we examine how entropy can be applied to evaluate the degree of predictability. In particular, in order to calculate the Tsallis entropy of the past life, we consider a scenario in which all components of the system fail at a given time t and use the system signature to calculate the Tsallis entropy of the past life. We examine a number of analytical results, e.g., expressions, thresholds and orders for the measure at issue in our study. The results may provide insights into the predictability of a coherent system’s life cycle. Full article
(This article belongs to the Special Issue Stochastic Modeling and Analysis with Multiple Applications)
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