Zobrazeno 1 - 10
of 167
pro vyhledávání: '"Korolev, V. Yu."'
We consider a multidimensional inhomogeneous birth-death process (BDP) and obtain bounds on the rate of convergence for the corresponding one-dimensional processes.
Externí odkaz:
http://arxiv.org/abs/1810.05816
We present new mixture representations for the generalized Linnik distribution in terms of normal, Laplace, exponential and stable laws and establish the relationship between the mixing distributions in these representations. Based on these represent
Externí odkaz:
http://arxiv.org/abs/1810.06389
The approaches, based on the negative binomial model for the distribution of duration of the wet periods measured in days, are proposed to the definition of extreme precipitation. This model demonstrates excellent fit with real data and provides a th
Externí odkaz:
http://arxiv.org/abs/1802.02928
Autor:
Korolev, V. Yu., Gorshenin, A. K.
Publikováno v:
Journal of Mathematical Sciences, 2018. Vol. 234. Iss. 6. P. 886-903
Based on the negative binomial model for the duration of wet periods measured in days, an asymptotic approximation is proposed for the distribution of the maximum daily precipitation volume within a wet period. This approximation has the form of a sc
Externí odkaz:
http://arxiv.org/abs/1706.00308
Publikováno v:
AIP Conf. Proc.1863 (2017) 090011
In the present paper we demonstrate the results of a statistical analysis of some characteristics of precipitation events and propose a kind of a theoretical explanation of the proposed models in terms of mixed Poisson and mixed exponential distribut
Externí odkaz:
http://arxiv.org/abs/1705.11055
Autor:
Korolev, V. Yu., Zeifman, A. I.
In this paper we study a wide and flexible family of discrete distributions, the so-called generalized negative binomial (GNB) distributions that are mixed Poisson distributions in which the mixing laws belong to the class of generalized gamma (GG) d
Externí odkaz:
http://arxiv.org/abs/1703.07276
Autor:
Korolev, V. Yu., Dorofeeva, A. V.
Estimates are constructed for the deviation of the concentration functions of sums of independent random variables with finite variances from the folded normal distribution function without any assumptions concerning the existence of the moments of s
Externí odkaz:
http://arxiv.org/abs/1608.03001
Autor:
Korolev, V. Yu., Zeifman, A. I.
We present some product representations for random variables with the Linnik, Mittag-Leffler and Weibull distributions and establish the relationship between the mixing distributions in these representations. Based on these representations, we prove
Externí odkaz:
http://arxiv.org/abs/1602.02480
An improved version of the functional limit theorem is proved establishing weak convergence of random walks generated by compound doubly stochastic Poisson processes (compound Cox processes) to L{\'e}vy processes in the Skorokhod space under more rea
Externí odkaz:
http://arxiv.org/abs/1507.02534
Autor:
Korolev, V. Yu., Dorofeeva, A. V.
Bounds of the accuracy of the normal approximation to the distribution of a sum of independent random variables are improved under relaxed moment conditions, in particular, under the absence of moments of orders higher than the second. These results
Externí odkaz:
http://arxiv.org/abs/1507.00979