Form of presentation  Articles in international journals and collections 
Year of publication  2019 
Язык  английский 

Kokunin Petr Anatolevich, author
Chikrin Dmitriy Evgenevich, author
Chuprunov Aleksey Nikolaevich, author

Bibliographic description in the original language 
Limit Theorems for Number of Particles from a Fixed Set of Cells / Chickrin D.E, Chuprunov A.N, Kokunin P.A. // Lobachevskii Journal of Mathematics. 2019. Vol.40, Is.5. P.624629. 
Annotation 
We conceder random variables that are numbers of particles in the first K cells in a nonhomogeneous allocation scheme of distinguishing particles by different cells, where K is a fixed number. It proved that under some conditions the sum of square of centered and normalized these random variables converge in distribution to a χ2square random variable with K degrees of freedom, sums of these random variables which centered and normalized converge in distribution to a Gaussian random variable with the means 0 and the variance 1. The meathod of the proofs of our theorems founded on Kolchin representation of an allocation scheme of distinguishing particles by different cells. We give applications of these results to mathematical statistics: we consider analog of χ2test and some Scriterion. 
Keywords 
allocation scheme of distinguishing particles by different cells, χ2test,
Scriterion, type I error, type II error, means unbiased estimator, consistent estimator 
The name of the journal 
Lobachevskii Journal of Mathematics

URL 
https://www.scopus.com/inward/record.uri?eid=2s2.085067869791&doi=10.1134%2fS1995080219050044&partnerID=40&md5=f04826a4eee578359ec84fc44e116855 
Please use this ID to quote from or refer to the card 
https://repository.kpfu.ru/eng/?p_id=205725&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 
20190101T00:00:00Z 
ru_RU 
dc.date.available 
20190101T00:00:00Z 
ru_RU 
dc.date.issued 
2019 
ru_RU 
dc.identifier.citation 
Limit Theorems for Number of Particles from a Fixed Set of Cells / Chickrin D.E, Chuprunov A.N, Kokunin P.A. // Lobachevskii Journal of Mathematics. 2019. Vol.40, Is.5. P.624629. 
ru_RU 
dc.identifier.uri 
https://repository.kpfu.ru/eng/?p_id=205725&p_lang=2 
ru_RU 
dc.description.abstract 
Lobachevskii Journal of Mathematics 
ru_RU 
dc.description.abstract 
We conceder random variables that are numbers of particles in the first K cells in a nonhomogeneous allocation scheme of distinguishing particles by different cells, where K is a fixed number. It proved that under some conditions the sum of square of centered and normalized these random variables converge in distribution to a χ2square random variable with K degrees of freedom, sums of these random variables which centered and normalized converge in distribution to a Gaussian random variable with the means 0 and the variance 1. The meathod of the proofs of our theorems founded on Kolchin representation of an allocation scheme of distinguishing particles by different cells. We give applications of these results to mathematical statistics: we consider analog of χ2test and some Scriterion. 
ru_RU 
dc.language.iso 
ru 
ru_RU 
dc.subject 
allocation scheme of distinguishing particles by different cells 
ru_RU 
dc.subject 
χ2test 
ru_RU 
dc.subject 
Scriterion 
ru_RU 
dc.subject 
type I error 
ru_RU 
dc.subject 
type II error 
ru_RU 
dc.subject 
means unbiased estimator 
ru_RU 
dc.subject 
consistent estimator 
ru_RU 
dc.title 
Limit Theorems for Number of Particles from a Fixed Set of Cells 
ru_RU 
dc.type 
Articles in international journals and collections 
ru_RU 
