Bounds on the Rate of Convergence of Moments in the Central Limit Theorem

Peter Hall

doi:10.1214/aop/1176993721

Bounds on the Rate of Convergence of Moments in the Central Limit Theorem

The Annals of Probability ◽

10.1214/aop/1176993721 ◽

1982 ◽

Vol 10 (4) ◽

pp. 1004-1018 ◽

Cited By ~ 8

Author(s):

Peter Hall

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem ◽

Convergence Of Moments

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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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On the rate of convergence of moments in the central limit theorem for lattice distributions

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1983-0697068-9 ◽

1983 ◽

Vol 278 (1) ◽

pp. 169-169 ◽

Cited By ~ 2

Author(s):

Peter Hall

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

The Central Limit Theorem ◽

Convergence Of Moments

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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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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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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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Rate of convergence in the central limit theorem in infinite-dimensional spaces

Lithuanian Mathematical Journal ◽

10.1007/bf00969844 ◽

1981 ◽

Vol 21 (4) ◽

pp. 271-277 ◽

Cited By ~ 1

Author(s):

V. Bentkus ◽

A. Račkauskas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Infinite Dimensional ◽

The Central Limit Theorem

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On the Rate of Convergence in the Central Limit Theorem in Certain Banach Spaces

Theory of Probability and Its Applications ◽

10.1137/1121088 ◽

1977 ◽

Vol 21 (4) ◽

pp. 754-769 ◽

Cited By ~ 22

Author(s):

V. I. Paulauskas

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Banach Spaces ◽

Central Limit ◽

The Central Limit Theorem

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On the Rate of Convergence in the Central Limit Theorem for Martingales with Discrete and Continuous Time

The Annals of Probability ◽

10.1214/aop/1176991901 ◽

1988 ◽

Vol 16 (1) ◽

pp. 275-299 ◽

Cited By ~ 37

Author(s):

Erich Haeusler

Keyword(s):

Central Limit Theorem ◽

Limit Theorem ◽

Rate Of Convergence ◽

Central Limit ◽

Continuous Time ◽

The Central Limit Theorem

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