Estimation of the rate of
Teoriâ slučajnyh processov, Tome 13 (2007) no. 1, pp. 132-143
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@article{THSP_2007_13_1_a13,
author = {Volodymyr Masol and Mykola Slobodian},
title = {Estimation of the rate of},
journal = {Teori\^a slu\v{c}ajnyh processov},
pages = {132--143},
year = {2007},
volume = {13},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/THSP_2007_13_1_a13/}
}
Volodymyr Masol; Mykola Slobodian. Estimation of the rate of. Teoriâ slučajnyh processov, Tome 13 (2007) no. 1, pp. 132-143. http://geodesic.mathdoc.fr/item/THSP_2007_13_1_a13/
[1] V. I. Masol, “Limit distribution of the number of solutions of a system of random Boolean equations that has a linear part”, Ukr. math. jour., 50:9 (1998), 1214-–1226 (in Ukrainian)
[2] V. I. Masol, M. V. Slobodian, M. V., “Estimation of the rate of convergence to the limit distribution of the number of false solutions of a system of nonlinear random Boolean equations”, PT, 2007 (to appear) (in Ukrainian)
[3] V. N. Sachkov, Introduction to combinatorial methods in discrete mathematics, Nauka, M., 1982 (in Russian)