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Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme

  • Maxim P. Savelov EMAIL logo
Published/Copyright: August 7, 2019

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.


Originally published in Diskretnaya Matematika (2017) 29, N°4, 121–129 (in Russian).


  1. Funding: This work was supported by the Russian Science Foundation under grant no.17-11-01173.

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Received: 2017-05-15
Published Online: 2019-08-07
Published in Print: 2019-08-27

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