The Coefficient of Asymmetry and the Access for the Weibull Probability Density

Probabilistic characteristics for the Weibull probability distribution are considered. The position and magnitude of the maximum of the Weibull probability density are calculated. The width for the probability density at half height is calculated. It is shown that it linearly depends on the parameter of the width of the function and non-linearly depends on the parameter of the shape of the Weibull function. The moments for the probability density, dispertion, standard deviation, coefficient of asymmetry, and access have been analytically calculated. Graphs are constructed for the Weibull probability density depending on the shape parameter. The Weibull probability density and the normal distribution are compared for different values of the shape and width parameters. The application of the Weibull distribution in medical statistics of Covid-19 recoveries is presented.

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Publication Details

Journal
System Analysis & Mathematical Modeling
Published
2025-04-15
DOI
https://doi.org/10.17150/2713-1734.2025.7(1).97-110
Primary Topic
Rock Mechanics and Modeling
Type
article
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article

The Coefficient of Asymmetry and the Access for the Weibull Probability Density

Andrey Borovsky, Alexander Voronov, Andrey Yumenchuk, Andrey Galkin
System Analysis & Mathematical Modeling
Rock Mechanics and Modeling
article

The Coefficient of Asymmetry and the Access for the Weibull Probability Density

Andrey Borovsky, Alexander Voronov, Andrey Yumenchuk, Andrey Galkin
article en

Abstract

Probabilistic characteristics for the Weibull probability distribution are considered. The position and magnitude of the maximum of the Weibull probability density are calculated. The width for the probability density at half height is calculated. It is shown that it linearly depends on the parameter of the width of the function and non-linearly depends on the parameter of the shape of the Weibull function. The moments for the probability density, dispertion, standard deviation, coefficient of asymmetry, and access have been analytically calculated. Graphs are constructed for the Weibull probability density depending on the shape parameter. The Weibull probability density and the normal distribution are compared for different values of the shape and width parameters. The application of the Weibull distribution in medical statistics of Covid-19 recoveries is presented.

System Analysis & Mathematical ModelingVol. 7(1)
Baikal State University (RU), Prokhorov General Physics Institute (RU)
Openalex Percentile: Top 83%
Rock Mechanics and Modeling
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The Coefficient of Asymmetry and the Access for the Weibull Probability Density — Andrey Borovsky, Alexander Voronov, et al. · System Analysis & Mathematical Modeling (2025) | TGRS Research Map | TGRS