Estimates for the convergence rate in the limit theorem for extreme values of regenerative processes
UDC 519.21 We establish the rate of convergence to the exponential distribution in the general limit theorem for the extreme values of regenerative processes. We also suggest some applications of this result to birth and death processes and queue length processes.
Saved in:
| Date: | 2020 |
|---|---|
| Main Authors: | Zakusylo, O. K., Matsak , I. K., Закусило, Олег, Закусило, О. К., Мацак, І. К. |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2020
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1028 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Estimates for the convergence rate in the limit theorem for extreme values of regenerative processes
by: O. K. Zakusylo, et al.
Published: (2020)
by: O. K. Zakusylo, et al.
Published: (2020)
Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases
by: Matsak, I. K., et al.
Published: (1996)
by: Matsak, I. K., et al.
Published: (1996)
The limit theorem for the maximum ot $C$-valued Gaussian random variables
by: Matsak, I. K., et al.
Published: (1995)
by: Matsak, I. K., et al.
Published: (1995)
On some limit theorems for the maximum of sums of independent random processes
by: Matsak, I. K., et al.
Published: (2008)
by: Matsak, I. K., et al.
Published: (2008)
Convergence of distributions of integral functionals of extremal random functions
by: Matsak, I. K., et al.
Published: (1999)
by: Matsak, I. K., et al.
Published: (1999)
A Limit Theorem for Integral Functionals of an Extremum of Independent Random Processes
by: Matsak, I. K., et al.
Published: (2005)
by: Matsak, I. K., et al.
Published: (2005)
Estimation of the convergence rate in central limiting theorem for two-parametric martingale-differences
by: Koval , T. L., et al.
Published: (1992)
by: Koval , T. L., et al.
Published: (1992)
A note on the central limiting theorem in the Banach space
by: Matsak, I. K., et al.
Published: (1988)
by: Matsak, I. K., et al.
Published: (1988)
Asymptotic behavior of the extreme values of random variables. Discrete case
by: Matsak, I. K., et al.
Published: (2016)
by: Matsak, I. K., et al.
Published: (2016)
Limit theorems for the maximum of sums of independent random processes
by: Matsak, I. K., et al.
Published: (2018)
by: Matsak, I. K., et al.
Published: (2018)
Central limiting theorem in the Banach space
by: Matsak , I. К., et al.
Published: (1988)
by: Matsak , I. К., et al.
Published: (1988)
Limit theorems for the maximum of sums of independent random processes
by: I. K. Matsak, et al.
Published: (2018)
by: I. K. Matsak, et al.
Published: (2018)
One asymptotical estimate for sums of independent random values in the Banach space
by: Matsak , I. K., et al.
Published: (2025)
by: Matsak , I. K., et al.
Published: (2025)
Limit Theorems for Random Elements in Ideals of Order-Bounded Elements of Functional Banach Lattices
by: Matsak, I. K., et al.
Published: (2001)
by: Matsak, I. K., et al.
Published: (2001)
Asymptotic behavior of the extreme values of random variables. Discrete case
by: I. K. Matsak
Published: (2016)
by: I. K. Matsak
Published: (2016)
Estimate of the convergence rate of the interpolation polynomial derivative on the classes of differentiable functions
by: Kushpel , A. K., et al.
Published: (1988)
by: Kushpel , A. K., et al.
Published: (1988)
A Remark on the Characterization of the Global Behavior of a Process with Independent Increments
by: Zcikusilo, О. K., et al.
Published: (2000)
by: Zcikusilo, О. K., et al.
Published: (2000)
Summation of independent random values of the Ries method
by: Matsak , I. K., et al.
Published: (1992)
by: Matsak , I. K., et al.
Published: (1992)
Зауваження про характеризацію глобальної поведінки процесу з незалежними приростами
by: Закусило, О.К.
Published: (2000)
by: Закусило, О.К.
Published: (2000)
On the speed of convergence in the local limit theorem for triangular arrays of random variables
by: V. P. Knopova
Published: (2012)
by: V. P. Knopova
Published: (2012)
Limit theorems for the solutions of boundary-value problems
by: V. A. Mikhajlets, et al.
Published: (2018)
by: V. A. Mikhajlets, et al.
Published: (2018)
Limit theorems for the solutions of boundary-value
problems
by: Mikhailets, V. A., et al.
Published: (2018)
by: Mikhailets, V. A., et al.
Published: (2018)
Asymptotic behavior of extreme values of queue length in M/M/m systems
by: B. V. Dovhai, et al.
Published: (2019)
by: B. V. Dovhai, et al.
Published: (2019)
Estimates for the Rate of Convergence in Ordinary Differential Equations under the Action of Random Processes with Fast Time
by: Bondarev, B. V., et al.
Published: (2005)
by: Bondarev, B. V., et al.
Published: (2005)
Limit theorems for one-dimensional boundary-value problems
by: T. I. Kodljuk, et al.
Published: (2013)
by: T. I. Kodljuk, et al.
Published: (2013)
Limit theorems for one-dimensional boundary-value problems
by: Kodlyuk, T. I., et al.
Published: (2013)
by: Kodlyuk, T. I., et al.
Published: (2013)
Limit theorems in the theory of multipoint boundary-value problems
by: Nedokis, V. A., et al.
Published: (1999)
by: Nedokis, V. A., et al.
Published: (1999)
Limiting theorems for random processes constructed by the sums of independent difference-distributed random values
by: Meredov , B., et al.
Published: (1991)
by: Meredov , B., et al.
Published: (1991)
Asymptotic properties of the norm of extremum values of normal random elements in the space C[0, 1]
by: Matsak, I. K., et al.
Published: (1998)
by: Matsak, I. K., et al.
Published: (1998)
On the rate convergence to normality of estimates of regression coefficient for associated random fields
by: Koval', T. L.; Коваль Т. Л.; Поліський національний університет, Житомир
Published: (2020)
by: Koval', T. L.; Коваль Т. Л.; Поліський національний університет, Житомир
Published: (2020)
On the rate of convergence to normality of estimates of regression coefficient for associated random fields
by: T. L. Koval
Published: (2020)
by: T. L. Koval
Published: (2020)
A limit theorem for semi-Markov process
by: Bondarenko, A.
Published: (2007)
by: Bondarenko, A.
Published: (2007)
Almost critical branching processes and limit theorems
by: Khusanbaev, Ya. M., et al.
Published: (2009)
by: Khusanbaev, Ya. M., et al.
Published: (2009)
Asymptotic Behavior of a Counting Process in the Maximum scheme
by: Matsak, I. K., et al.
Published: (2013)
by: Matsak, I. K., et al.
Published: (2013)
Estimation of the rate of convergence to the limit distribution of the number of false solutions of a system of nonlinear random Boolean equations that has a linear part
by: Masol, V., et al.
Published: (2007)
by: Masol, V., et al.
Published: (2007)
Limit theorems for general one-dimensional boundary-value problems
by: V. A. Mikhajlets, et al.
Published: (2014)
by: V. A. Mikhajlets, et al.
Published: (2014)
Estimates of the rate of pointwise and uniform convergence for branched continued fractions with nonequivalent variables
by: D. I. Bodnar, et al.
Published: (2019)
by: D. I. Bodnar, et al.
Published: (2019)
Uniform integrabblity and the lebesgue theorem on convergence in $L_0$-valued measures
by: Radchenko, V. N., et al.
Published: (1996)
by: Radchenko, V. N., et al.
Published: (1996)
Rate of Convergence of Positive Series
by: Skaskiv, O. B., et al.
Published: (2004)
by: Skaskiv, O. B., et al.
Published: (2004)
Introduction of the Principles of Development of Regenerative Entrepreneurship in the Process of Training Management Specialists
by: O. O. Shkolnyi, et al.
Published: (2024)
by: O. O. Shkolnyi, et al.
Published: (2024)
Similar Items
-
Estimates for the convergence rate in the limit theorem for extreme values of regenerative processes
by: O. K. Zakusylo, et al.
Published: (2020) -
Weak convergence of the extreme values of independent random variables in banach spaces with unconditional bases
by: Matsak, I. K., et al.
Published: (1996) -
The limit theorem for the maximum ot $C$-valued Gaussian random variables
by: Matsak, I. K., et al.
Published: (1995) -
On some limit theorems for the maximum of sums of independent random processes
by: Matsak, I. K., et al.
Published: (2008) -
Convergence of distributions of integral functionals of extremal random functions
by: Matsak, I. K., et al.
Published: (1999)