Method of Verification of Hypothesis about Mean Value on a Basis of Expansion in a Space with Generating Element

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dc.contributor.authorZabolotnii, Serhii
dc.contributor.authorЗаболотній, Сергій Васильович
dc.contributor.authorMartynenko, S. S.
dc.contributor.authorSalypa, S. V.
dc.date.accessioned2025-11-17T14:20:03Z
dc.date.available2025-11-17T14:20:03Z
dc.date.issued2018
dc.description.abstractIn this paper it is proposed an original method for verification of statistical hypotheses about mean values of random quantities. This method is based on Kunchenko stochastic polynomials tool and probabilistic description on a basis of higher order statistics (moments and/or cumulants). There are represented analytical expressions allowing to optimize decision rules using certain qualitive criterion and calculate decision-making error. It is shown polynomial decision rule in case of polynomial power S = 1 corresponds to classic linear decision rule which is used for comparative analysis. By means of multiple statistical experiments (Monte–Carlo method) obtained results of Neumann–Pierson criterion show proposed polynomial decision rules are characterized by increased accuracy (decrease of the 2nd genus errors probability) in compare to linear processing. The method efficiency increases with increase of stochastic polynomial order increase of degree of random quantities distribution difference from Gaussian probabilities distribution law.
dc.identifier.citationZabolotnii S. V., Martynenko, S. S., Salypa S. V. Method of Verification of Hypothesis about Mean Value on a Basis of Expansion in a Space with Generating Element. Radioelectronics and Communications Systems. [Електронне видання]. 2018. № 61. рp. 222-229. DOI: https://doi.org/10.3103/S0735272718050060 [Scopus, квартиль Q 3]
dc.identifier.urihttps://radioelektronika.org/article/view/S0735272718050060
dc.identifier.urihttps://link.springer.com/article/10.3103/S0735272718050060
dc.identifier.urihttps://dr.csbc.edu.ua/handle/123456789/645
dc.language.isoen
dc.publisherAllerton Press, Inc.
dc.subjectMATHEMATICS::Algebra, geometry and mathematical analysis
dc.subjectSOCIAL SCIENCES::Statistics, computer and systems science
dc.titleMethod of Verification of Hypothesis about Mean Value on a Basis of Expansion in a Space with Generating Element
dc.typeArticle
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