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Theory of Stochastic Processes, 2007, Volume 13(29), Issue 1, Pages 132–143 (Mi thsp192)  

Estimation of the rate of convergence to the limit distribution of the number of false solutions of a system of nonlinear random boolean equations that has a linear part

Volodymyr Masol, Mykola Slobodian

Department of Probability Theory and Mathematical Statistics, Kyiv National Taras Shevchenco University, Kyiv, Ukraine.
References:
Abstract: The theorem on a estimation of the rate of convergence ($n\to\infty$) to the Poisson distribution of the number of false solutions of a beforehand consistent system of nonlinear random equations, that has a linear part, over the field GF(2) is proved.
Keywords: System of nonlinear random Boolean equations, field GF(2), rate of convergence.
Bibliographic databases:
Document Type: Article
MSC: 60C05, 15A52, 15A03
Language: English
Citation: Volodymyr Masol, Mykola Slobodian, “Estimation of the rate of convergence to the limit distribution of the number of false solutions of a system of nonlinear random boolean equations that has a linear part”, Theory Stoch. Process., 13(29):1 (2007), 132–143
Citation in format AMSBIB
\Bibitem{MasSlo07}
\by Volodymyr~Masol, Mykola~Slobodian
\paper Estimation of the rate of
convergence to the limit distribution
of the number of false solutions of a
system of nonlinear random boolean
equations that has a linear part
\jour Theory Stoch. Process.
\yr 2007
\vol 13(29)
\issue 1
\pages 132--143
\mathnet{http://mi.mathnet.ru/thsp192}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2343818}
\zmath{https://zbmath.org/?q=an:1142.60309}
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  • https://www.mathnet.ru/eng/thsp192
  • https://www.mathnet.ru/eng/thsp/v13/i1/p132
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