Cover Image

Some limit theorems for the critical Galton–Watson branching processes

UDC 519.21 We consider critical Galton–Watson processes starting from a random number of particles and determine the effect of the mean value of the initial state on the asymptotic state of the process.&nbsp;For processes starting from a large number of particles and satisfying the con...

Full description

Saved in:

Bibliographic Details
Date:	2023
Main Authors:	Kudratov, Kh., Khusanbaev, Ya.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2023
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/6781
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Some limit theorems for the critical Galton–Watson branching processes
by: Kh. Kudratov, et al.
Published: (2023)

Limit theorems in critical Galton-Watson branching processes with migration
by: Badalbaev, I. S., et al.
Published: (1995)

Almost critical branching processes and limit theorems
by: Khusanbaev, Ya. M., et al.
Published: (2009)

Estimates of the extinction probability of the Galton-Watson process
by: Goryainov, V. V., et al.
Published: (1995)

On the Asymptotic Behavior of a Subcritical Branching Process with Immigration
by: Ja. M. Khusanbaev
Published: (2013)

On the Asymptotic Behavior of a Subcritical Branching Process with Immigration
by: Khusanbaev, Ya. M., et al.
Published: (2013)

To revision of Middle Asian material of the &quot;Teloschistes brevior&quot; complex (Teloschistaceae)
by: Ya. Kondratiuk, et al.
Published: (2006)

On some limit theorems for the maximum of sums of independent random processes
by: Matsak, I. K., et al.
Published: (2008)

To revision of middle asian material of the "Teloschistes brevior" (Teloschistaceae)
by: Kondratyuk, S., et al.
Published: (2006)

A limit theorem for semi-Markov process
by: Bondarenko, A.
Published: (2007)

Limit theorem for multidimensional renewal equation
by: O. A. Yarova, et al.
Published: (2022)

Limit theorems for backward stochastic equations
by: Makhno, S.Ya., et al.
Published: (2008)

Limit theorems for the maximum of sums of independent random processes
by: I. K. Matsak, et al.
Published: (2018)

Limit theorems for diffusion-type processes in $R^m$
by: Pisanets, S. I., et al.
Published: (1993)

Limit theorems for oscillatory functionals of a Markov process
by: Androshchuk, T.O., et al.
Published: (2005)

Limit theorems for the maximum of sums of independent random processes
by: Matsak, I. K., et al.
Published: (2018)

A limit theorem for mixing processes subject to rarefaction. I
by: Gasanenko, V. A., et al.
Published: (1998)

A limit theorem for mixing processes subject to rarefaction. II
by: Gasanenko, V. A., et al.
Published: (1998)

Limit theorems for solutions of stochastic equations with periodic coefficients
by: Makhno, S. Ya., et al.
Published: (1995)

The status of the branch of forceful execution of the state law-enforcement agency within the limits of the administrative procedure
by: Ya. Rabovska
Published: (2015)

Some moment results about the limit of a martingale related to the supercritical branching random walk and perpetuities
by: Iksanov, O. M., et al.
Published: (2006)

Some moment results about the limit of a martingale related to the supercritical branching random walk and perpetuities
by: Iksanov, О.М.
Published: (2006)

Estimates for the convergence rate in the limit theorem for extreme values of regenerative processes
by: O. K. Zakusylo, et al.
Published: (2020)

Stochastically Lipschitzian functions and limit theorems for functionals of shot noise processes
by: A. B. Ilienko, et al.
Published: (2011)

Functional limit theorems for a time-changed multidimensional Wiener process
by: Mishura, Yuliya, et al.
Published: (2026)

A Limit Theorem for Integral Functionals of an Extremum of Independent Random Processes
by: Matsak, I. K., et al.
Published: (2005)

Almost sure functional central limit theorems for multiparameter stochastic processes
by: Czerebak-Morozowicz, E.B., et al.
Published: (2008)

Estimates for the convergence rate in the limit theorem for extreme values of regenerative processes
by: Zakusylo, O. K., et al.
Published: (2020)

Unbounded branches of solutions of some boundary-value problems
by: Dymarskii, Ya. M., et al.
Published: (1996)

Central limiting theorem in the Banach space
by: Matsak , I. К., et al.
Published: (1988)

A functional limit theorem without centering for general shot noise processes
by: O. Iksanov, et al.
Published: (2021)

Theorems on isomorphisms for some parabolic initial-boundary-value problems in Hörmander spaces: limiting case
by: V. M. Los
Published: (2016)

A functional limit theorem without centering for general shot noise processes
by: Iksanov, A., et al.
Published: (2021)

Theorems on isomorphisms for some parabolic initial-boundary-value problems in Hörmander spaces: limiting case
by: Los’, V. M., et al.
Published: (2016)

Limit theorems for the solutions of boundary-value problems
by: V. A. Mikhajlets, et al.
Published: (2018)

Remark on the central limit theorem for ergodic chains
by: Moskal'tsova, N. V., et al.
Published: (1995)

Some sets of relative stability to perturbations of branched continued fractions with complex elements and variable number of branches of branching
by: V. R. Hladun
Published: (2014)

Limiting theorem for the parametrical stochastic operator systems
by: Butsan , G. P., et al.
Published: (1988)

Limit theorems for the solutions of boundary-value problems
by: Mikhailets, V. A., et al.
Published: (2018)

Malmquist Theorem for the Solutions of Differential Equations in the Vicinity of a Branching Point
by: A. A. Mokhonko, et al.
Published: (2014)