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Found 69 Documents (Results 1–69)

Checking the randomness of bits disposition in local segments of the \((0, 1)\)-sequence. (English. Russian original) Zbl 1455.60023

Cybern. Syst. Anal. 56, No. 3, 513-520 (2020); translation from Kibern. Sist. Anal. 2020, No. 3, 194-202 (2020).
MSC:  60C05
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Normal limiting distribution of the normalized number of extraneous solutions of a compatible system of nonlinear random equations over the field \(\operatorname{GF}(2)\). (English. Ukrainian original) Zbl 1323.60023

Theory Probab. Math. Stat. 90, 139-151 (2015); translation from Teor. Jmovirn. Mat. Stat. 90, 123–134 (2014).
MSC:  60C05 15B52 60F99
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Estimates for the probability that a system of random equations is solvable in a given set of vectors over the field GF(3). (English. Ukrainian original) Zbl 1333.60066

Theory Probab. Math. Stat. 87, 135-152 (2013); translation from Teor. Jmovirn. Mat. Stat. 87, 120-135 (2012).
MSC:  60F99 12E12 12E20
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Application of a fast simulation method to the estimation of the number of some \(k\)-dimensional subspaces over a finite space. (English. Russian original) Zbl 1288.94100

Cybern. Syst. Anal. 46, No. 3, 405-419 (2010); translation from Kibern. Sist. Anal. 2010, No. 3, 69-83 (2010).
MSC:  94B05 12E20
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Uniqueness conditions for the solution of an inhomogeneous system of nonlinear random equations over the field \(GF(3)\). (English. Russian original) Zbl 1209.60039

Cybern. Syst. Anal. 46, No. 2, 185-199 (2010); translation from Kibern. Sist. Anal. 2010, No. 2, 23-36 (2010).
MSC:  60H25
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On the rate of convergence to the normal distribution of the number of false solutions of a system of nonlinear random Boolean equations. (Ukrainian, English) Zbl 1199.60031

Teor. Jmovirn. Mat. Stat. 76, 105-116 (2007); translation in Theory Probab. Math. Stat. 76, 117-129 (2008).
MSC:  60C05 15B52 60F99
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A theorem on the distribution of the rank of a sparse Boolean random matrix and some applications. (Ukrainian, English) Zbl 1199.60028

Teor. Jmovirn. Mat. Stat. 76, 92-104 (2007); translation in Theory Probab. Math. Stat. 76, 103-116 (2008).
MSC:  60C05 15B52 60F17
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An estimate for the rate of convergence of the distribution of the number of false solutions of a system of nonlinear random equations in the field \(GF(2)\). (Ukrainian, English) Zbl 1199.60030

Teor. Jmovirn. Mat. Stat. 77, 109-121 (2007); translation in Theory Probab. Math. Stat. 77, 121-134 (2008).
MSC:  60C05 15B52 15A03
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On the rate of convergence of distribution of the rank of a sparse random Boolean matrix to Poisson distribution. (Ukrainian. English summary) Zbl 1125.60002

MSC:  60C05 15B52 60F05
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Expansion in terms of power of a small parameter of the maximum rank distribution of a random Boolean matrix. (English. Russian original) Zbl 1032.15017

Cybernetics and Systems Analysis 38, No. 6, 938-942 (2002); translation from Kibern. Sist. Anal. 2002, No. 6, 176-180 (2002).
MSC:  15B52 05B20
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Limit distribution of the number of solutions of a system of random Boolean equations with a linear part. (English. Ukrainian original) Zbl 0945.60007

Ukr. Math. J. 50, No. 9, 1389-1404 (1998); translation from Ukr. Mat. Zh. 50, No. 9, 1214-1226 (1998).
MSC:  60C05 15B52 60F99
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A theorem on the limiting distribution for the number of false solutions of a system of nonlinear random Boolean equations. (English. Russian original) Zbl 0926.60022

Theory Probab. Appl. 43, No. 1, 75-88 (1998); translation from Teor. Veroyatn. Primen. 43, No. 1, 41-56 (1998).
MSC:  60F05 60H25 60C05
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Limit factorial moments of the number of solutions for a system of linear Boolean equations. (English) Zbl 1029.60521

Àrato, M. (ed.) et al., New trends in probability and mathematical statistics. Proceedings of the second Ukrainian-Hungarian conference, Mukachevo, Ukraine, September 25-October 1, 1992. Kiev: TViMS. Teor. Veroyatn. Mat. Stat./Probab. Theory Math. Stat. 2, 173-180 (1995).
MSC:  60K99 60F05
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