| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2019 |
| Язык | английский |
|
Кокунин Петр Анатольевич, автор
Чикрин Дмитрий Евгеньевич, автор
Чупрунов Алексей Николаевич, автор
|
| Библиографическое описание на языке оригинала |
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.624-629. |
| Аннотация |
We conceder random variables that are numbers of particles in the first K cells in a non-homogeneous 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 χ2-square 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 χ2-test and some S-criterion. |
| Ключевые слова |
allocation scheme of distinguishing particles by different cells, χ2-test,
S-criterion, type I error, type II error, means unbiased estimator, consistent estimator |
| Название журнала |
Lobachevskii Journal of Mathematics
|
| URL |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85067869791&doi=10.1134%2fS1995080219050044&partnerID=40&md5=f04826a4eee578359ec84fc44e116855 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=205725 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Кокунин Петр Анатольевич |
ru_RU |
| dc.contributor.author |
Чикрин Дмитрий Евгеньевич |
ru_RU |
| dc.contributor.author |
Чупрунов Алексей Николаевич |
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 |
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.624-629. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=205725 |
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 non-homogeneous 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 χ2-square 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 χ2-test and some S-criterion. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
allocation scheme of distinguishing particles by different cells |
ru_RU |
| dc.subject |
χ2-test |
ru_RU |
| dc.subject |
S-criterion |
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 |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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