Inference about the Ratio of the Coefficients of Variation of Two Independent Symmetric or Asymmetric Populations

Zhang, Yue; Băleanu, Dumitru

doi:10.3390/sym11060824

Cited by 6 publications

(16 citation statements)

References 37 publications

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“…It can happen that γ(θ) = θ j , for some j. Let also (4) H : ϕ = ϕ H be the hypothesis that we want to test by means of the BDM. If it is possible to compute the marginal posterior of ϕ, i.e.…”

Section: Defining the Bayesian Discrepancy Measure And The Related Testmentioning

confidence: 99%

“…Usually it is assumed that the data follows symmetric distributions, however asymptotic tests for asymmetric distributions have also been discussed. For instance, the case of the lognormal distribution is considered in [2] and [3], and a most general assumption of asymmetry, with applications to the Beta and the Gamma distributions, has been considered in [4]. Nonparametric techniques, such as bootstrap, which free up the analysis from the parametric restrictive assumptions, have also alternatively been proposed (see [5] and [6]).…”

Section: Introductionmentioning

confidence: 99%

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Testing the equality of two coefficients of variation: a new Bayesian approach

Bertolino¹,

Columbu²,

Manca³

et al. 2022

Preprint

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The use of testing procedures for comparing two coefficients of variation (CVs) of independent populations is not extensively explored in the Bayesian context. We propose to address this issue through a test based on a measure of evidence, the Bayesian Discrepancy Measure, recently introduced in the literature. Computing the Bayesian Discrepancy Measure is straightforward when the CVs depend on a single parameter of the distribution. In contrast, it becomes more difficult when this simplification does not occur since more parameters are involved, requiring often the use of MCMC methods. We derive the Bayesian Discrepancy Measure and the related test by considering a variety of distribution assumptions with multiparametric CVs and apply them to real datasets. As far as we know, some of the examined problems have not yet been covered in the literature.

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Section: Defining the Bayesian Discrepancy Measure And The Related Testmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Testing the equality of two coefficients of variation: a new Bayesian approach

Bertolino¹,

Columbu²,

Manca³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…The NTP offset measurements were conducted simultaneously with raw offset measurements in the same WAN. To compare the outcomes of such related measurements based on the variability of predicted offsets, a statistical parameter called 'coefficient of variation (CV)' [33] was used. CV is a statistical measure of the relative dispersion of data points in a data series around the mean.…”

Section: All Network Tracesmentioning

confidence: 99%

CoSiWiNeT: A Clock Synchronization Algorithm for Wide Area IIoT Network

Gore¹,

Lisova²,

Åkerberg³

et al. 2021

Applied Sciences

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Recent advances in the industrial internet of things (IIoT) and cyber–physical systems drive Industry 4.0 and have led to remote monitoring and control applications that require factories to be connected to remote sites over wide area networks (WAN). The adequate performance of remote applications depends on the use of a clock synchronization scheme. Packet delay variations adversely impact the clock synchronization performance. This impact is significant in WAN as it comprises wired and wireless segments belonging to public and private networks, and such heterogeneity results in inconsistent delays. Highly accurate, hardware–based time synchronization solutions, global positioning system (GPS), and precision time protocol (PTP) are not preferred in WAN due to cost, environmental effects, hardware failure modes, and reliability issues. As a software–based network time protocol (NTP) overcomes these challenges but lacks accuracy, the authors propose a software–based clock synchronization method, called CoSiWiNeT, based on the random sample consensus (RANSAC) algorithm that uses an iterative technique to estimate a correct offset from observed noisy data. To evaluate the algorithm’s performance, measurements captured in a WAN deployed within two cities were used in the simulation. The results show that the performance of the new algorithm matches well with NTP and state–of–the–art methods in good network conditions; however, it outperforms them in degrading network scenarios.

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“…The statistics of papers called for this Special Issue related to published or rejected items were [7][8][9][10][11][12][13][14][15][16][17][18][19][20]: total submissions (21), published (13; 62%), and rejected (8; 38%). The authors' geographical distribution by countries of authors in published papers is shown in Table 1, and it can be seen that 35 authors are from 11 different countries.…”

Section: Statistics Of the Special Issuementioning

confidence: 99%

Symmetry in Applied Continuous Mechanics

2019

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Engineering practice requires the use of structures containing identical components or parts, which are useful from several points of view: less information is needed to describe the system, design is made quicker and easier, components are made faster than a complex assembly, and finally the time to achieve the structure and the cost of manufacturing decreases. Additionally, the subsequent maintenance of the system becomes easier and cheaper. This Special Issue is dedicated to this kind of mechanical structure, describing the properties and methods of analysis of these structures. Discrete or continuous structures in static and dynamic cases are considered. Theoretical models, mathematical methods, and numerical analysis of the systems, such as the finite element method and experimental methods, are expected to be used in the research. Such applications can be used in most engineering fields including machine building, automotive, aerospace, and civil engineering.

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Inference about the Ratio of the Coefficients of Variation of Two Independent Symmetric or Asymmetric Populations

Cited by 6 publications

References 37 publications

Testing the equality of two coefficients of variation: a new Bayesian approach

Testing the equality of two coefficients of variation: a new Bayesian approach

CoSiWiNeT: A Clock Synchronization Algorithm for Wide Area IIoT Network

Symmetry in Applied Continuous Mechanics

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