On the rate of convergence in the central limit theorem for Markov-chains

D. Landers; L. Rogge

doi:10.1007/bf00532600

On the rate of convergence in the central limit theorem for Markov-chains

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00532600 ◽

1976 ◽

Vol 35 (1) ◽

pp. 57-63 ◽

Cited By ~ 15

Author(s):

D. Landers ◽

L. Rogge

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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A uniform estimate for the rate of convergence in the central limit theorem for homogeneous Markov chains

Applied Mathematics Letters ◽

10.1016/0893-9659(95)00073-y ◽

1995 ◽

Vol 8 (5) ◽

pp. 89-94

Author(s):

M. Gharib ◽

M. Abdel-Fattah

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Rate Of Convergence ◽

Central Limit ◽

Uniform Estimate ◽

The Central Limit Theorem

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On Estimates of the Rate of Convergence in the Central Limit Theorem for Homogeneous Markov Chains

Theory of Probability and Its Applications ◽

10.1137/1128022 ◽

1984 ◽

Vol 28 (2) ◽

pp. 229-239 ◽

Cited By ~ 1

Author(s):

S. Kh. Sirazhdinov ◽

Sh. K. Formanov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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The central limit theorem for Markov chains with normal transition operators, started at a point

Probability Theory and Related Fields ◽

10.1007/pl00008769 ◽

2001 ◽

Vol 119 (4) ◽

pp. 508-528 ◽

Cited By ~ 28

Author(s):

Yves Derriennic ◽

Michael Lin

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Central Limit ◽

The Central Limit Theorem ◽

Normal Transition ◽

Transition Operators

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Rate of convergence in the central limit theorem in the space D[0, 1]

Lithuanian Mathematical Journal ◽

10.1007/bf00972120 ◽

1989 ◽

Vol 28 (3) ◽

pp. 229-238 ◽

Cited By ~ 2

Author(s):

V. Paulauskas ◽

D. Jukneviciene

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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On the estimate of the rate of convergence in the central limit theorem in Hilbert space

Stability Problems for Stochastic Models - Lecture Notes in Mathematics ◽

10.1007/bfb0084183 ◽

1989 ◽

pp. 309-327 ◽

Cited By ~ 1

Author(s):

V. V. Senatov

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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On the rate of convergence of moments in the central limit theorem in Hilbert space

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0072951 ◽

1983 ◽

pp. 561-575 ◽

Cited By ~ 1

Author(s):

V. V. Sazonov ◽

B. A. Zalesskii

Keyword(s):

Hilbert Space ◽

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem ◽

Convergence Of Moments

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Nonuniform bounds on the rate of convergence in the central limit theorem for martingales

Journal of Multivariate Analysis ◽

10.1016/0047-259x(91)90063-8 ◽

1991 ◽

Vol 36 (2) ◽

pp. 297-313 ◽

Cited By ~ 2

Author(s):

Konrad Joos

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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On the Rate of Convergence in the Central Limit Theorem for Weakly Dependent Random Variables

Theory of Probability and Its Applications ◽

10.1137/1136092 ◽

1992 ◽

Vol 36 (4) ◽

pp. 783-792 ◽

Cited By ~ 7

Author(s):

T. M. Zuparov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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A useful version of the central limit theorem for a general class of Markov chains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123725 ◽

2020 ◽

Vol 484 (1) ◽

pp. 123725 ◽

Cited By ~ 1

Author(s):

Dawid Czapla ◽

Katarzyna Horbacz ◽

Hanna Wojewódka-Ściążko

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Markov Chains ◽

Central Limit ◽

General Class ◽

The Central Limit Theorem

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Estimate of the rate of convergence in the central limit theorem inl p spaces

Lithuanian Mathematical Journal ◽

10.1007/bf00970257 ◽

1981 ◽

Vol 21 (1) ◽

pp. 55-62

Author(s):

V. Paulauskas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem

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