Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme

Maxim P. Savelov

doi:10.1515/dma-2019-0021

Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme

Maxim P. Savelov

Лаборатория прикладной вероятности ММФ

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

For a nonhomogeneous polynomial scheme, conditions are found under which the Pearson statistic distributions converge to the distribution of nonnegative quadratic form of independent random variables with the standard normal distribution.

Язык оригинала	английский
Страницы (с-по)	233-239
Число страниц	7
Журнал	Discrete Mathematics and Applications
Том	29
Номер выпуска	4
DOI	https://doi.org/10.1515/dma-2019-0021
Состояние	Опубликовано - 1 авг 2019

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Savelov, M. P. (2019). Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme. Discrete Mathematics and Applications, 29(4), 233-239. https://doi.org/10.1515/dma-2019-0021

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abstract = "For a nonhomogeneous polynomial scheme, conditions are found under which the Pearson statistic distributions converge to the distribution of nonnegative quadratic form of independent random variables with the standard normal distribution.",

keywords = "chi-square test, limit distributions, noncentral weighted chi-square distribution, Pearson statistics",

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KW - chi-square test

KW - limit distributions

KW - noncentral weighted chi-square distribution

KW - Pearson statistics

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DO - 10.1515/dma-2019-0021

M3 - Article

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Доступ к документу

10.1515/dma-2019-0021

Link to publication in Scopus