Výsledky vyhledávání

Joint Distribution of Some Statistics of Random Bit Sequences

Publikováno v: Cybernetics and Systems Analysis. 57:139-145

For a finite sequence consisting of independent equally distributed random variables taking the value zero or one, two-dimensional and three-dimensional distributions of some special statistics characterizing the location of its elements are obtained

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::440a077ea2d8780ce46c6953baa79576
https://doi.org/10.1007/s10559-021-00337-x

Zobrazit plný text záznamu

Checking the Randomness of Bits Disposition in Local Segments of the (0, 1)-Sequence

Autor: S. V. Popereshnyak, V. I. Masol

Publikováno v: Cybernetics and Systems Analysis. 56:513-520

An explicit form of the joint distribution of the number of 2-strings and the number of 3-strings of various fixed variants in a (0, 1)-sequence of length n consisting of zeros and ones is established. Elements of (0, 1)-sequences are assumed to be i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c5c2ff2a603115bdb26245fb62b54bb8
https://doi.org/10.1007/s10559-020-00267-0

Zobrazit plný text záznamu

Application of a fast simulation method to the estimation of the number of some k-dimensional subspaces over a finite space

Autor: I. N. Kuznetsov, V. I. Masol

Publikováno v: Cybernetics and Systems Analysis. 46:405-419

A fast simulation method is proposed for estimation of the number of k-dimensional subspaces of weight w in an n-dimensional vector space over the Galois field containing q components. Unbiased estimates are constructed for the cases when w?=?1 and w

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aebd84b3da7f0f01f3ec1e22ebbdb208
https://doi.org/10.1007/s10559-010-9215-0

Zobrazit plný text záznamu

Uniqueness conditions for the solution of an inhomogeneous system of nonlinear random equations over the field GF(3)

Autor: V. I. Masol, L. A. Romaschova

Publikováno v: Cybernetics and Systems Analysis. 46:185-199

An inhomogeneous consistent system of second-order nonlinear random equations over a field consisting of three elements is considered. The necessary and sufficient condition is found under which the system has a unique solution belonging to a given s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::46abae7c0847db6a028adcb6c6ffef9c
https://doi.org/10.1007/s10559-010-9197-y

Zobrazit plný text záznamu

[Untitled]

Autor: V. V. Masol

Publikováno v: Cybernetics and Systems Analysis. 38:938-942

The paper considers an N \times n matrix (N \ge n) over a field GF(2) that consists of random values with a distribution depending on a small parameter e. The expansion is found in terms of the power of the parameter e of the probability that the mat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::99147cfbaa5e689f2831ccdc6dc439c1
https://doi.org/10.1023/a:1022964526194

Zobrazit plný text záznamu

A Theorem on the Limiting Distribution for the Number of False Solutions of a System of Nonlinear Random Boolean Equations

Autor: V. I. Masol

Publikováno v: Theory of Probability & Its Applications. 43:75-88

We prove that the distribution of the number of false solutions of a consistent system of nonlinear random Boolean equations with stochastically independent coefficients is asymptotically Poisson with parameter $2^m$ as the number n of unknowns tends

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::92be6375350b532f8ac82966a346d9cd
https://doi.org/10.1137/s0040585x97976672

Zobrazit plný text záznamu

Limit distribution of the number of solutions of a system of random Boolean equations with a linear part

Autor: V. I. Masol

Publikováno v: Ukrainian Mathematical Journal. 50:1389-1404

We prove two theorems on the Poisson limit distribution of the number of solutions of an a priori consistent system of nonlinear random Boolean equations with stochastically independent coefficients. In particular, we assume that this system contains

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1b554a0679a26e5266eae447c2b3beb8
https://doi.org/10.1007/bf02525245

Zobrazit plný text záznamu

Some applications of a cardinality estimate for a certain configuration

Autor: V. I. Masol

Publikováno v: Mathematical Notes. 63:641-647

Two configurations are constructed and the cardinality of one of them is estimated in terms of that of the other. The estimate thus obtained is applied to certain combinatorial problems.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4bc3bc6f99c4e98654e70cfb158f9595
https://doi.org/10.1007/bf02312846

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání