KFU. Card publication. Methods of verification of compliance with an asymptotically power law

KAZAN
FEDERAL UNIVERSITY

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METHODS OF VERIFICATION OF COMPLIANCE WITH AN ASYMPTOTICALLY POWER LAW

Form of presentation

Articles in international journals and collections

Year of publication

2017

Язык

английский

Authors, employees of KFU

Bochkarev Vladimir Vladimirovich, author

Tyurin Vladimir Aleksandrovich, author

Bibliographic description in the original language

Belashova I.A, Bochkarev V.V, Tyurin V.A., Methods of verification of compliance with an asymptotically power law//Journal of Physics: Conference Series. - 2017. - Vol.936, Is.1. - Art. № 012074.

Annotation

This paper describes methods of the power law verification using different empirical data. We do not analyse the value of deviations from the model but try to found out whether these deviations are regular or random. The suggested approach is based on the idea of finding local power approximation of the considered series for each range of ranks, after which one or another trend criterion is applied to the obtained series of local exponents. Application of the runs test is also discussed. The suggested methods were tested using 10 sets of empirical data, which are available for free. It was shown that compliance with the power law is satisfactory only in one case.

Keywords

Power-law distribution, Zipf's law, robust criteria, runs test

The name of the journal

Journal of Physics: Conference Series

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85041186186&doi=10.1088%2f1742-6596%2f936%2f1%2f012074&partnerID=40&md5=64775a5c2d7d646b8860be28e50b6558

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

https://repository.kpfu.ru/eng/?p_id=175041&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Bochkarev Vladimir Vladimirovich	ru_RU
dc.contributor.author	Tyurin Vladimir Aleksandrovich	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
dc.identifier.citation	Belashova I.A, Bochkarev V.V, Tyurin V.A., Methods of verification of compliance with an asymptotically power law//Journal of Physics: Conference Series. - 2017. - Vol.936, Is.1. - Art. № 012074.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=175041&p_lang=2	ru_RU
dc.description.abstract	Journal of Physics: Conference Series	ru_RU
dc.description.abstract	This paper describes methods of the power law verification using different empirical data. We do not analyse the value of deviations from the model but try to found out whether these deviations are regular or random. The suggested approach is based on the idea of finding local power approximation of the considered series for each range of ranks, after which one or another trend criterion is applied to the obtained series of local exponents. Application of the runs test is also discussed. The suggested methods were tested using 10 sets of empirical data, which are available for free. It was shown that compliance with the power law is satisfactory only in one case.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Power-law distribution	ru_RU
dc.subject	Zipf's law	ru_RU
dc.subject	robust criteria	ru_RU
dc.subject	runs test	ru_RU
dc.title	Methods of verification of compliance with an asymptotically power law	ru_RU
dc.type	Articles in international journals and collections	ru_RU