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pro vyhledávání: '"Korolev, Victor A."'
In applied probability, the normal approximation is often used for the distribution of data with assumed additive structure. This tradition is based on the central limit theorem for sums of (independent) random variables. However, it is practically i
Externí odkaz:
http://arxiv.org/abs/2010.13138
Autor:
Korolev, Victor, Zeifman, Alexander
In the paper, upper bounds for the rate of convergence in laws of large numbers for mixed Poisson random sums are constructed. As a measure of the distance between the limit and pre-limit laws, the Zolotarev $\zeta$-metric is used. The obtained resul
Externí odkaz:
http://arxiv.org/abs/2003.12495
Extreme values are considered in samples with random size that has a mixed Poisson distribution being generated by a doubly stochastic Poisson process. We prove some inequalities providing bounds on the rate of convergence in limit theorems for the d
Externí odkaz:
http://arxiv.org/abs/1912.02237
Autor:
Korolev, Victor, Zeifman, Alexander
In the paper, multivariate probability distributions are considered that are representable as scale mixtures of multivariate elliptically contoured stable distributions. It is demonstrated that these distributions form a special subclass of scale mix
Externí odkaz:
http://arxiv.org/abs/1912.02108
Publikováno v:
Mathematics 2020, 8(2), 253
The paper is largely of a review nature. It considers two main methods used to study stability and obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Markov chains with continuous time and a finite or countable state space.
Externí odkaz:
http://arxiv.org/abs/1911.03355
Autor:
Korolev, Victor, Gorshenin, Andrey
The paper presents improved mathematical models and methods for statistical regularities in the behavior of some important characteristics of precipitation: duration of a wet period, maximum daily and total precipitation volumes within a such period.
Externí odkaz:
http://arxiv.org/abs/1901.11052
Publikováno v:
Communications in Computer and Information Science, 2018. Vol. 919. P. 353-364
The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distributions. This family of discrete distributions is very wide and embraces
Externí odkaz:
http://arxiv.org/abs/1806.10582
Autor:
Korolev, Victor1,2,3 (AUTHOR), Zeifman, Alexander2,4,5 (AUTHOR) a_zeifman@mail.ru
Publikováno v:
Mathematics (2227-7390). 9/15/2023, Vol. 11 Issue 18, p3892. 25p.
Autor:
Korolev, Victor1,2,3 (AUTHOR) a_zeifman@mail.ru, Zeifman, Alexander2,4,5 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Sep2023, Vol. 11 Issue 17, p3797. 14p.
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