Estimation of the rate of
Teoriâ slučajnyh processov, Tome 13 (2007) no. 1, pp. 132-143.

Voir la notice de l'article provenant de 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},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2007_13_1_a13/}
}
TY  - JOUR
AU  - Volodymyr Masol
AU  - Mykola Slobodian
TI  - Estimation of the rate of
JO  - Teoriâ slučajnyh processov
PY  - 2007
SP  - 132
EP  - 143
VL  - 13
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/THSP_2007_13_1_a13/
LA  - en
ID  - THSP_2007_13_1_a13
ER  - 
%0 Journal Article
%A Volodymyr Masol
%A Mykola Slobodian
%T Estimation of the rate of
%J Teoriâ slučajnyh processov
%D 2007
%P 132-143
%V 13
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/THSP_2007_13_1_a13/
%G en
%F 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)