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).
Funding: This work was supported by the Russian Science Foundation under grant no.17-11-01173.
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Articles in the same Issue
- Frontmatter
- Centrally essential rings which are not necessarily unital or associative
- On the asymptotics of degree structure of configuration graphs with bounded number of edges
- Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme
- On the complexity of bounded-depth circuits and formulas over the basis of fan-in gates
- Limit Poisson law for the distribution of the number of components in generalized allocation scheme
- Finite algebras of Bernoulli distributions
Articles in the same Issue
- Frontmatter
- Centrally essential rings which are not necessarily unital or associative
- On the asymptotics of degree structure of configuration graphs with bounded number of edges
- Limit distributions of the Pearson statistics for nonhomogeneous polynomial scheme
- On the complexity of bounded-depth circuits and formulas over the basis of fan-in gates
- Limit Poisson law for the distribution of the number of components in generalized allocation scheme
- Finite algebras of Bernoulli distributions