Some Remarks on Asymptotic Expansions in the Central Limit Theorem form-Dependent Random Variables

Lothar Heinrich

doi:10.1002/mana.19851220115

Some Remarks on Asymptotic Expansions in the Central Limit Theorem form-Dependent Random Variables

Mathematische Nachrichten ◽

10.1002/mana.19851220115 ◽

1985 ◽

Vol 122 (1) ◽

pp. 151-155 ◽

Cited By ~ 10

Author(s):

Lothar Heinrich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem

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Non-Uniform Estimates and Asymptotic Expansions of the Remainder in the Central Limit Theorem form-Dependent Random Variables

Mathematische Nachrichten ◽

10.1002/mana.19841150102 ◽

1984 ◽

Vol 115 (1) ◽

pp. 7-20 ◽

Cited By ~ 17

Author(s):

Lothar Heinrich

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Asymptotic Expansions ◽

Random Variables ◽

Dependent Random Variables ◽

Uniform Estimates ◽

The Central Limit Theorem

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On the central limit theorem for sums of dependent random variables

Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ◽

10.1007/bf00532097 ◽

1967 ◽

Vol 7 (1) ◽

pp. 48-82 ◽

Cited By ~ 39

Author(s):

B. Ros�n

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

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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Estimate of the convergence rate in the central limit theorem for weakly dependent random variables

Lithuanian Mathematical Journal ◽

10.1007/bf01053921 ◽

1977 ◽

Vol 17 (3) ◽

pp. 313-320 ◽

Cited By ~ 1

Author(s):

J. Sunklodas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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

Theory of Probability and Its Applications ◽

10.1137/1125092 ◽

1981 ◽

Vol 25 (4) ◽

pp. 790-809 ◽

Cited By ~ 65

Author(s):

A. N. Tikhomirov

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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The convergence of moments in the central limit theorem for weakly dependent random variables

Tsukuba Journal of Mathematics ◽

10.21099/tkbjm/1496159668 ◽

1983 ◽

Vol 7 (1) ◽

pp. 147-156

Author(s):

Ryozo Yokoyama

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Convergence Of Moments ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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The Central Limit Theorem for Dependent Random Variables

Herbert Robbins Selected Papers ◽

10.1007/978-1-4612-5110-1_30 ◽

1985 ◽

pp. 349-356

Author(s):

Wassily Hoeffding ◽

Herbert Robbins

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem

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The Central Limit Theorem for Dependent Random Variables

Springer Series in Statistics - The Collected Works of Wassily Hoeffding ◽

10.1007/978-1-4612-0865-5_9 ◽

1994 ◽

pp. 205-213 ◽

Cited By ~ 3

Author(s):

Wassily Hoeffding ◽

Herbert Robbins

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem

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On the Convergence Rate in the Central Limit Theorem for m-Dependent Random Variables

Theory of Probability and Its Applications ◽

10.1137/1124090 ◽

1980 ◽

Vol 24 (4) ◽

pp. 782-796 ◽

Cited By ~ 9

Author(s):

V. V. Shergin

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Convergence Rate ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem

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Remarks on the central limit theorem for weakly dependent random variables

Stochastic Processes — Mathematics and Physics - Lecture Notes in Mathematics ◽

10.1007/bfb0080211 ◽

1986 ◽

pp. 104-118 ◽

Cited By ~ 5

Author(s):

Detlef Dürr ◽

Sheldon Goldstein

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Central Limit ◽

Random Variables ◽

Dependent Random Variables ◽

The Central Limit Theorem ◽

Weakly Dependent Random Variables ◽

Weakly Dependent

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