Cover Image

On a limit theorem for an additive functional on a nonrecurrent Markovian chain

We establish conditions under which the distribution of an additive functional on a nonrecurrent Markovian chain is asymptotically normal.

Saved in:

Bibliographic Details
Date:	1997
Main Authors:	Ruzhevich, N. A., Ружевич, Н. А.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1997
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5003
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

Central limit theorem for stochastically additive functionals of ergodic chains
by: Moskal'tsova, N. V., et al.
Published: (1994)

A limit theorem for symmetric Markovian random evolution in R^m
by: Kolesnik, A.D.
Published: (2008)

Limiting distribution of time averages for the additive functionals preset on the semi-Markovian process
by: Eleiko, Ya. I., et al.
Published: (1990)

Certain properties of a walk on the ergodic Markovian chain
by: Bratijchuk, N. S., et al.
Published: (1987)

Central limit theorem for special classes of functions of ergodic chains
by: Moskal'tsova, N. V., et al.
Published: (1994)

Central limiting theorem for nonuniform processes with independent increments with semi-Markovian change overs
by: Korolyuk , V. V., et al.
Published: (1991)

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

Central limit theorem for centered frequencies of a countable ergodic markov chain
by: Moskal'tsova, N. V., et al.
Published: (1993)

Transformations of Markovian functionals
by: Alimov , D., et al.
Published: (1992)

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

On closeness of distributions of two Markovian sums of random variables without a condition of limit neglections
by: Litvinov, A. N., et al.
Published: (1971)

Three examples of Markovian functionals
by: Alimov, D., et al.
Published: (1992)

Additive Functions and Chain Complexes of Projective Modules
by: Sharko, V. V., et al.
Published: (2004)

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

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

A functional limit theorem of the type of the law of large numbers for random reliefs
by: Yurachkovskii, A. P., et al.
Published: (1999)

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

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

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

A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system
by: Kangkang Wang
Published: (2011)

A class of strong limit theorems for nonhomogeneous Markov chains indexed by a generalized Bethe tree on a generalized random selection system
by: Kangkang, Wang, et al.
Published: (2011)

Discrete limit theorems for Estermann zeta-functions. II
by: Laurincikas, A., et al.
Published: (2008)

Discrete limit theorems for Estermann zeta-functions. I
by: Laurincikas, A., et al.
Published: (2007)

Markovianity and the Thompson Group
by: Köstler, Claus, et al.
Published: (2022)

Correlation functions for linear additive Markov chains of higher orders
by: V. E. Vekslerchik, et al.
Published: (2019)

Discrete limit theorems for Estermann zeta-functions. I
by: Laurincikas, Antanas, et al.
Published: (2018)

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

A note on the central limiting theorem in the Banach space
by: Matsak, I. K., et al.
Published: (1988)

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)

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

General Addition Formula for Meromorphic Functions Derived from Residue Theorem
by: Yosh, H.
Published: (2010)

Cockcroft–Swan Theorem for Projective Crossed Chain Complexes
by: Khmelnitskii, N. A., et al.
Published: (2014)

System of interacting particles with Markovian switching
by: A. A. Pogorui
Published: (2012)

A multidimensional generalization of an oval theorem for a periodic chain fraction of a special form
by: D. I. Bodnar, et al.
Published: (2014)

A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian
by: Rösler, M., et al.
Published: (2015)

On an operator analog of the cosine addition theorem
by: Yu. S. Linchuk
Published: (2014)

A limit theorem for the number of sign changes for a sequence of one-dimensional diffusions
by: Kulik, A.M.
Published: (2008)

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

Cockcroft–Swan Theorem for Projective Crossed Chain Complexes
by: N. A. Khmelnitskij
Published: (2014)