KFU. Card publication. The method of specification the degree of reliability for “zero hypotheses« about the distribution laws basing on Pearson's and Kolmogorov's consent criteria.

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THE METHOD OF SPECIFICATION THE DEGREE OF RELIABILITY FOR &LDQUO;ZERO HYPOTHESES&LAQUO; ABOUT THE DISTRIBUTION LAWS BASING ON PEARSON'S AND KOLMOGOROV'S CONSENT CRITERIA.

Form of presentation

Articles in international journals and collections

Year of publication

2022

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Authors, employees of KFU

Akhmetova Irina Anatolevna, author

Voroncov Dmitriy Petrovich, author

Shikhalyov Anatoliy Mikhaylovich, author

Other authors

Verzun Natalya , author

Authors, students KFU

Zubenko Vadim Andreevich, author

Igushkin Ilya Arnoldovich, author

Bibliographic description in the original language

The method of specification the degree of reliability for “zero hypotheses« about the distribution laws basing on Pearson's and Kolmogorov's consent criteriaIlya Igushkin, Anatoly Shikhalev, Dmitry Vorontsov, Natalya Verzun, Irina Akhmetova, Vadim Zubenko. Proceedings of VIII International Conference on Information Technology and Nanotechnology (ITNT-2022), 23-27.05.2022, DOI:10.1109/ITNT55410.2022.9848752

Annotation

C�� VIII �� «�� » (��-2022)

Keywords

small and ultra-small samples, variation series, weighted average (value), variance, distribution laws of random variables, Pearson?s and Kolmogorov?s consent criteria

The name of the journal

C�� VIII �� «�� » (��-2022)

URL

https://ieeexplore.ieee.org/document/9848752

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=268093&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Akhmetova Irina Anatolevna	ru_RU
dc.contributor.author	Voroncov Dmitriy Petrovich	ru_RU
dc.contributor.author	Shikhalyov Anatoliy Mikhaylovich	ru_RU
dc.contributor.author	Verzun Natalya	ru_RU
dc.contributor.author	Zubenko Vadim Andreevich	ru_RU
dc.contributor.author	Igushkin Ilya Arnoldovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	The method of specification the degree of reliability for “zero hypotheses« about the distribution laws basing on Pearson's and Kolmogorov's consent criteriaIlya Igushkin, Anatoly Shikhalev, Dmitry Vorontsov, Natalya Verzun, Irina Akhmetova, Vadim Zubenko. Proceedings of VIII International Conference on Information Technology and Nanotechnology (ITNT-2022), 23-27.05.2022, DOI:10.1109/ITNT55410.2022.9848752	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=268093&p_lang=2	ru_RU
dc.description.abstract	C�� VIII �� «�� » (��-2022)	ru_RU
dc.description.abstract	In the recent years the modern socio-economic indicators usually are very unstable. Therefore the using of initial (raw) data even in the so-called «small samples« volume (25-30 values) could be problematic [1], [2]. For the initial data now it is often necessary to use the smaller number of it called the “ultra-small samples” which add some technical restrictions when studying many problems in the mathematical statistics framework, in particular when analyzing the task of the Pearson's consent criteria χ2 calculating with the recommended significance level Rpredet. ≥ 95% (i.e. “predetermined level”). In this research we propose the method of «(re)conciliation« (or “concordance”) for the determining and calculating the type of distribution laws for the random variable when Rcalc. < Rpredet. (i.e. Rcalculated < Rpredetermined). Moreover, also was created the «discrepancy criterion” (or “non-conformity criterion”) for the «zero hypotheses« concerned with the distribution laws of random variables testing for ultra-small samples cases.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	small and ultra-small samples	ru_RU
dc.subject	variation series	ru_RU
dc.subject	weighted average (value)	ru_RU
dc.subject	variance	ru_RU
dc.subject	distribution laws of random variables	ru_RU
dc.subject	Pearson?s and Kolmogorov?s consent criteria	ru_RU
dc.title	The method of specification the degree of reliability for “zero hypotheses« about the distribution laws basing on Pearson's and Kolmogorov's consent criteria.	ru_RU
dc.type	Articles in international journals and collections	ru_RU