Symmetry in Random Number Generator and Probability Theory

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: closed (30 September 2023) | Viewed by 2037

Special Issue Editors

Faculty of Computing and Telecommunications, Poznań University of Technology, 60-965 Poznań, Poland
Interests: True random number generator; physical unclonable function; pattern matching; blind detection.
Faculty of Computing and Telecommunications, Poznań University of Technology, 60-965 Poznań, Poland
Interests: True random number generator; physical unclonable function; pattern matching; blind detection.
Faculty of Electrical and Computer Engineering, Rzeszow University of Technology, 35-959 Rzeszów, Poland
Interests: true random number generator; generators; radio communication; high voltage; probabilistic

Special Issue Information

Dear Colleagues,

True random number generators are used in many scientific and technological fields. One of the main fields of application for random numbers is cryptography and information security. Modern information security and messaging authentication use cryptographic systems that require random numbers. In turn, the continued rise in demand for various types of data, combined with higher transmission and processing speeds, requires continuous development of the available methods of generating and assessing random numbers. What is necessary are generators that produce high-speed random numbers, preferably on demand, integrated into the same digital circuit with a cryptographic system. The numbers must be unpredictable, and the generator itself must be safe from attack. The sequences produced by the TRNG are expected to pass statistical tests based on probabilistic inference methods.

In this call, we are welcoming blue-sky and applied research covering novel ideas and applications in both probability theory and true random number generators. Papers should cover all aspects of symmetry arguments in likelihood and statistical inference that can be used in cryptography and quality assessment of true random number generators, such as, but not limited to constructive principles of probability and inference derived from symmetry arguments, relative probabilities, symmetric measures of probability, symmetry in probability distributions, arguments related to symmetry in entropy laws, and symmetry in quantum cryptography. Evaluation of the statistical properties of random sequences and proposals for new randomness tests will also be welcomed.

All papers are expected to discuss the role of symmetry in their field of research.

Submit your paper and select the Journal “Symmetry” and the Special Issue “Symmetry in Random Number Generator and Probability Theory” via: MDPI submission system. Our papers will be published on a rolling basis and we will be pleased to receive your submission once you have finished it.

Dr. Łukasz Matuszewski
Dr. Jakub Nikonowicz
Dr. Tomasz Kossowski
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • True random number generator
  • Physical unclonable function
  • Pseudo-random number generator
  • Probability
  • Random testing
  • Symmetrical security protocols and communication security
  • Symmetric measures of probability
  • Entropy
  • Statistical inference
  • Novel security architectures
  • Permutation symmetry
  • Information geometry
  • Chaos
  • Key generation
  • Relative probabilities
  • Probability distributions
  • Quantum cryptography

Published Papers (1 paper)

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Research

20 pages, 1981 KiB  
Article
Optimal Test Plan of Step-Stress Model of Alpha Power Weibull Lifetimes under Progressively Type-II Censored Samples
by Refah Alotaibi, Ehab M. Almetwally, Devendra Kumar and Hoda Rezk
Symmetry 2022, 14(9), 1801; https://0-doi-org.brum.beds.ac.uk/10.3390/sym14091801 - 30 Aug 2022
Cited by 5 | Viewed by 1002
Abstract
In this study, the estimation of the unknown parameters of an alpha power Weibull (APW) distribution using the concept of an optimal strategy for the step-stress accelerated life testing (SSALT) is investigated from both classical and Bayesian viewpoints. We used progressive type-II censoring [...] Read more.
In this study, the estimation of the unknown parameters of an alpha power Weibull (APW) distribution using the concept of an optimal strategy for the step-stress accelerated life testing (SSALT) is investigated from both classical and Bayesian viewpoints. We used progressive type-II censoring and accelerated life testing to reduce testing time and costs, and we used a cumulative exposure model to examine the impact of various stress levels. A log-linear relation between the scale parameter of the APW distribution and the stress model has been proposed. Maximum likelihood estimators for model parameters, as well as approximation and bootstrap confidence intervals (CIs), were calculated. Bayesian estimation of the parameter model was obtained under symmetric and asymmetric loss functions. An optimal test plan was created under typical operating conditions by minimizing the asymptotic variance (AV) of the percentile life. The simulation study is discussed to demonstrate the model’s optimality. In addition, real-world data are evaluated to demonstrate the model’s versatility. Full article
(This article belongs to the Special Issue Symmetry in Random Number Generator and Probability Theory)
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