Geodesic
Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme
Diskretnaya Matematika, Tome 29 (2017) no. 4, pp. 121-129.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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M. P. Savelov. Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme. Diskretnaya Matematika, Tome 29 (2017) no. 4, pp. 121-129. http://geodesic.mathdoc.fr/item/DM_2017_29_4_a7/

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