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

Applied Probability Laboratory

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	233-239
Number of pages	7
Journal	Discrete Mathematics and Applications
Volume	29
Issue number	4
DOIs	https://doi.org/10.1515/dma-2019-0021
Publication status	Published - 1 Aug 2019

Keywords

chi-square test
limit distributions
noncentral weighted chi-square distribution
Pearson statistics

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title = "Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme",

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",

author = "Savelov, {Maxim P.}",

year = "2019",

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Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme

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Keywords

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