On the asymptotic normality of the number of false solutions of a system of nonlinear random Boolean equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the asymptotic normality of the number of false solutions of a system of nonlinear random Boolean equations
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| Creator |
Masol, V.
Slobodyan, S. |
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| Description |
The theorem on a normal limit (n → ∞) distribution of the number of false solutions of a system of nonlinear Boolean equations with independent random coefficients is proved. In particular, we assume that each equation has coefficients that take value 1 with probability that varies in some neighborhood of the point 1/2; the system has a solution with the number of ones equals ρ(n), ρ(n) → ∞ as n → ∞. The proof is constructed on the check of auxiliary statement conditions which in turn generalizes one well-known result.
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| Date |
2009-11-19T10:18:19Z
2009-11-19T10:18:19Z 2007 |
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| Type |
Article
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| Identifier |
On the asymptotic normality of the number of false solutions of a system of nonlinear random Boolean equations / V. Masol, S. Slobodyan // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 1-2. — С. 144-151. — Бібліогр.: 5 назв.— англ.
0321-3900 http://dspace.nbuv.gov.ua/handle/123456789/4485 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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