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

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

Form of presentation

Articles in international journals and collections

Year of publication

2019

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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

Poisson Limit Theorems for Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme / Chickrin D.E, Chuprunov A.N, Kokunin P.A. // Lobachevskii Journal of Mathematics. 2019. Vol.40, Is.5. P.614-623.

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 Poisson random variable. The method of the proofs is founded on some analog of Kolchin formula. As corollary we obtain a Poisson limit theorems for the number of given value cells from the first K cells in non-homogeneous allocation scheme of distinguishing particles by different cells.

Keywords

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

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85067888647&doi=10.1134%2fS1995080219050032&partnerID=40&md5=38aafd4470d237e45d2df67b504abf51

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

https://repository.kpfu.ru/eng/?p_id=205727&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	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Poisson Limit Theorems for Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme / Chickrin D.E, Chuprunov A.N, Kokunin P.A. // Lobachevskii Journal of Mathematics. 2019. Vol.40, Is.5. P.614-623.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=205727&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	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 Poisson random variable. The method of the proofs is founded on some analog of Kolchin formula. As corollary we obtain a Poisson limit theorems for the number of given value cells from the first K cells in non-homogeneous allocation scheme of distinguishing particles by different cells.	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	Poisson Limit Theorems for Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme	ru_RU
dc.type	Articles in international journals and collections	ru_RU