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pro vyhledávání: '"Saenko, Viacheslav"'
Autor:
Saenko, Viacheslav V.
The paper considers the problem of calculating the distribution function of a strictly stable law at $x\to\infty$. To solve this problem, an expansion of the distribution function in a power series was obtained, and an estimate of the remainder term
Externí odkaz:
http://arxiv.org/abs/2303.12488
Autor:
Saenko, Viacheslav V.
The article is devoted to the problem of calculating the probability density of a strictly stable law at $x\to\infty$. To solve this problem, it was proposed to use the expansion of the probability density in a power series. A representation of the p
Externí odkaz:
http://arxiv.org/abs/2303.03016
Autor:
Saenko, Viacheslav V.
The problem of calculating the probability density and distribution function of a strictly stable law is considered at $x\to0$. The expansions of these values into power series were obtained to solve this problem. It was shown that in the case $\alph
Externí odkaz:
http://arxiv.org/abs/2210.06920
Autor:
Saenko, Viacheslav V.
The problem of calculating the Mittag-Leffler function $E_{\rho,\mu} (z)$ is considered in the paper. To solve this problem integral representations for the function $E_{\rho,\mu}(z)$ are transformed in such a way that they could not contain complex
Externí odkaz:
http://arxiv.org/abs/2006.14916
Autor:
Saenko, Viacheslav V.
Publikováno v:
Mathematics 2020, 8(7), 1101
The integral representation of the two-parameter Mittag-Leffler function $E_{\rho,\mu}(z)$ is considered in the paper that expresses its value in terms of the contour integral. For this integral representation, the transition is made from integration
Externí odkaz:
http://arxiv.org/abs/2005.11745
Autor:
Saenko, Viacheslav V.
The paper presents an integral representation of the two-parameter Mittag-Leffler function $E_{\rho,\mu}(z)$ and singular points of this representation have been studied. It has been found that there are two singular points for this integral represen
Externí odkaz:
http://arxiv.org/abs/2004.08164
Autor:
Saenko, Viacheslav V.
Generalization of the integral representation of the gamma function has been obtained, which shows that the Hankel contour assumes rotation in the complex plane. The range of admissible values for the contour rotation angle is set. Using this integra
Externí odkaz:
http://arxiv.org/abs/2001.09606
Autor:
Saenko, Viacheslav, Saenko, Yurij
Publikováno v:
Stat. Appl. Genet. Mol. Biol. 2015; 14(3): 295--306
At the present time reliably established that probability density functions of gene expression of microarray experiments possess a number of universal properties. First of all these distributions have power asymptotic and secondly the shape of these
Externí odkaz:
http://arxiv.org/abs/1406.7114
A statistical algorithm for estimating the characteristic parameter $\alpha$ of the stable law is presented and the estimate of its quadratic deviation is obtained in the paper. This algorithm is applied in the description of the fluctuation induced
Externí odkaz:
http://arxiv.org/abs/1311.7049
Autor:
Saenko, Viacheslav V.
Publikováno v:
Physica A: Statistical Mechanics and its Applications, V. 444, pp. 765-782 (2016)
Levy walk at the finite velocity is considered. To analyze the spatial and temporal characteristics of this process, the method of moments has been used. The asymptotic distributions of the moments (at $t\to\infty$) have been obtained for $N$ dimensi
Externí odkaz:
http://arxiv.org/abs/1309.1972