KFU. Card publication. Gaussian Limit Theorems for the Number of Given Value Cells in the Non-Homogeneous Generalized Allocation Scheme

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GAUSSIAN LIMIT THEOREMS FOR THE NUMBER OF GIVEN VALUE CELLS IN THE NON-HOMOGENEOUS GENERALIZED ALLOCATION SCHEME

Form of presentation

Articles in international journals and collections

Year of publication

2020

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Authors, employees of KFU

Kokunin Petr Anatolevich, author

Chikrin Dmitriy Evgenevich, author

Chuprunov Aleksey Nikolaevich, author

Bibliographic description in the original language

Gaussian limit theorems for the number of given value cells in the non-homogeneous generalized allocation scheme / D. E. Chickrin, A. N. Chuprunov, P. A. Kokunin // Journal of Mathematical Sciences. 2020. Vol. 246, is. 4. Pp. 476-487. DOI: 10.1007/s10958-020-04753-w

Annotation

In some non-homogeneous generalized allocation schemes we formulate conditions under which the number of given value cells from the first K cells converges to a Gaussian random variable. This result is applied to the study of the type I error and the type II error for analogs of the empty boxes test.

Keywords

generalized allocation scheme, Poisson limit theorem, local limit theorem, limit theorem

The name of the journal

Journal of Mathematical Sciences (United States)

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85082591256&doi=10.1007%2fs10958-020-04753-w&partnerID=40&md5=76f8401dee06cff82baba96a36833ff7

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

https://repository.kpfu.ru/eng/?p_id=235567&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kokunin Petr Anatolevich	ru_RU
dc.contributor.author	Chikrin Dmitriy Evgenevich	ru_RU
dc.contributor.author	Chuprunov Aleksey Nikolaevich	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Gaussian limit theorems for the number of given value cells in the non-homogeneous generalized allocation scheme / D. E. Chickrin, A. N. Chuprunov, P. A. Kokunin // Journal of Mathematical Sciences. 2020. Vol. 246, is. 4. Pp. 476-487. DOI: 10.1007/s10958-020-04753-w	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=235567&p_lang=2	ru_RU
dc.description.abstract	Journal of Mathematical Sciences (United States)	ru_RU
dc.description.abstract	In some non-homogeneous generalized allocation schemes we formulate conditions under which the number of given value cells from the first K cells converges to a Gaussian random variable. This result is applied to the study of the type I error and the type II error for analogs of the empty boxes test.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	generalized allocation scheme	ru_RU
dc.subject	Poisson limit theorem	ru_RU
dc.subject	local limit theorem	ru_RU
dc.subject	limit theorem	ru_RU
dc.title	Gaussian Limit Theorems for the Number of Given Value Cells in the Non-Homogeneous Generalized Allocation Scheme	ru_RU
dc.type	Articles in international journals and collections	ru_RU