A space of the entropy and variations coefficient for beta distribution of the second kind

The paper contains material on the coefficients of the forms of beta distribution of the second kind, which are built on the basis of entropy and probabilistic uncertainty intervals. The entropy uncertainty interval does not contain restrictions on the parameters of the distribution forms. To charac...

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Bibliographic Details
Main Author: Polosin, Vitaly G.
Format: Conference Proceeding
Language:English
Subjects:
Coefficient of variation
Entropy
Parameters
Probability distribution functions
Statistical analysis
Uncertainty
Online Access:Get full text
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Summary:The paper contains material on the coefficients of the forms of beta distribution of the second kind, which are built on the basis of entropy and probabilistic uncertainty intervals. The entropy uncertainty interval does not contain restrictions on the parameters of the distribution forms. To characterize the shape of the distribution, it is proposed to use the entropic variation coefficient, which imposes minimal restrictions on the shape parameters of the beta distribution of the second kind. The joint use of the entropy coefficients, statistical and entropic variability made it possible to construct a space for mapping the beta distribution of the second kind with a minimum restriction of the second parameter equal to two. It is also noted that the entropic variation coefficient made possible to estimate the shape parameter of the beta distribution of the second kind at values greater than one.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0193540