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JOURNALS // Diskretnaya Matematika // Archive
Diskr. Mat., 2017 Volume 29, Issue 4, Pages 121–129 (Mi dm1480)
Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme

M. P. Savelov

Novosibirsk State University

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, Pearson statistics, limit distributions, noncentral weighted chi-square distribution.

UDC: 519.214.5

Received: 15.05.2017

DOI: 10.4213/dm1480


 English version: Discrete Mathematics and Applications, 2019, 29:4, 233–239

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© Steklov Math. Inst. of RAS, 2025