Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Vladimir E. Bening"'
Autor:
Vladimir E. Bening, Victor Y. Korolev
Publikováno v:
Mathematics, Vol 10, Iss 3, p 454 (2022)
In the paper, we consider a new approach to the comparison of the distributions of sums of random variables. Unlike preceding works, for this purpose we use the notion of deficiency that is well known in mathematical statistics. This approach is used
Externí odkaz:
https://doaj.org/article/99712c705c564273a17988605ea5e462
Publikováno v:
Colloquium Mathematicum. 157:157-171
Autor:
Vladimir E. Bening
Publikováno v:
Journal of Mathematical Sciences. 227:131-152
The paper contains an introduction to the asymptotic theory of hypothesis testing and a review of recent results of the author and his students. We consider only the asymptotic approach, for which with increasing sample size n the test size is separa
Publikováno v:
Doklady Mathematics. 94:502-505
A class of inhomogeneous Markovian queuing systems with possible catastrophic failures and group arrival of customers in the case of empty queue is considered; basic estimates of the rate of convergence and stability for this class are obtained.
Publikováno v:
Journal of Mathematical Sciences. 205:18-26
In the paper, the asymptotic behavior of the power function of the most powerful test in the problem of testing a simple hypothesis against a simple alternative from a homogeneous sample of independent observations is studied under the assumption tha
Publikováno v:
Journal of Mathematical Sciences. 205:34-44
Some estimates are presented for the accuracy of approximation of the negative binomial distribution by the gamma distribution. These results are applied to estimate the convergence rate to the Student distribution for the distributions of some stati
Publikováno v:
Doklady Mathematics. 92:695-697
An approach making it possible to obtain estimates of certain probabilities related to inhomogeneous multidimensional birth-and-death processes is proposed.
Publikováno v:
AIP Conference Proceedings.
Publikováno v:
Queueing Systems. 76:205-221
We consider time-inhomogeneous Markovian queueing models with batch arrivals and group services. We study the mathematical expectation of the respective queue-length process and obtain the bounds on the rate of convergence and error of truncation of
Autor:
Vladimir E. Bening, V. Yu. Korolev
Publikováno v:
Journal of Mathematical Sciences. 189:899-902
There is one feature of distributions (3) that makes them inconvenient from the point of view of their statistical analysis. The point is that their probability densities cannot be explicitly written in terms of elementary or simplest special functio