On Estimates of the Rate of Convergence in the Invariance Principle for Banach Spaces

A. A. Borovkov; A. I. Sakhanenko

doi:10.1137/1125087

On Estimates of the Rate of Convergence in the Invariance Principle for Banach Spaces

Theory of Probability and Its Applications ◽

10.1137/1125087 ◽

1981 ◽

Vol 25 (4) ◽

pp. 721-731 ◽

Cited By ~ 11

Author(s):

A. A. Borovkov ◽

A. I. Sakhanenko

Keyword(s):

Rate Of Convergence ◽

Banach Spaces ◽

Invariance Principle

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Rate of convergence in the invariance principle in Banach spaces

Lithuanian Mathematical Journal ◽

10.1007/bf00966599 ◽

1988 ◽

Vol 27 (3) ◽

pp. 205-213 ◽

Cited By ~ 3

Author(s):

V. Yu. Bentkus ◽

K. Liubinskas

Keyword(s):

Rate Of Convergence ◽

Banach Spaces ◽

Invariance Principle

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On Extended Rate of Convergence Results for the Invariance Principle

The Annals of Mathematical Statistics ◽

10.1214/aoms/1177697294 ◽

1969 ◽

Vol 40 (6) ◽

pp. 2178-2179 ◽

Cited By ~ 13

Author(s):

C. C. Heyde

Keyword(s):

Rate Of Convergence ◽

Invariance Principle ◽

Convergence Results

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On the rate of convergence in Maruyama's invariance principle

Vol. 2 ◽

10.1515/9783112313985-009 ◽

1987 ◽

pp. 63-68

Keyword(s):

Rate Of Convergence ◽

Invariance Principle

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

Theory of Probability and Its Applications ◽

10.1137/1123055 ◽

1979 ◽

Vol 23 (2) ◽

pp. 458-458

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 invariance principle for real-valued functions of Doeblin processes

Journal of Multivariate Analysis ◽

10.1016/0047-259x(84)90068-x ◽

1984 ◽

Vol 15 (1) ◽

pp. 73-90

Author(s):

Erich Haeusler

Keyword(s):

Rate Of Convergence ◽

Invariance Principle

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Rate of convergence in invariance principle in linear spaces. Application to empirical measures

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0072902 ◽

1983 ◽

pp. 45-58 ◽

Cited By ~ 3

Author(s):

I. S. Borisov

Keyword(s):

Rate Of Convergence ◽

Invariance Principle ◽

Empirical Measures ◽

Linear Spaces

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Rate of convergence in the invariance principle for martingale difference arrays

Lithuanian Mathematical Journal ◽

10.1007/bf02336885 ◽

1994 ◽

Vol 34 (4) ◽

pp. 383-392

Author(s):

K. Kubilius

Keyword(s):

Rate Of Convergence ◽

Invariance Principle ◽

Martingale Difference

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Rate of convergence for the invariance principle

Lithuanian Mathematical Journal ◽

10.1007/bf00966180 ◽

1986 ◽

Vol 25 (2) ◽

pp. 148-154

Author(s):

K. Liubinskas

Keyword(s):

Rate Of Convergence ◽

Invariance Principle

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The invariance principle for the Ornstein–Uhlenbeck process with fast Poisson time: An estimate for the rate of convergence

Theory of Probability and Mathematical Statistics ◽

10.1090/s0094-9000-08-00727-8 ◽

2008 ◽

Vol 76 ◽

pp. 15-22

Author(s):

B. V. Bondarev ◽

A. V. Baev

Keyword(s):

Rate Of Convergence ◽

Invariance Principle ◽

Uhlenbeck Process ◽

Ornstein Uhlenbeck Process

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