On Gaussian approximation in Hilbert space, non-identically distributed random variables case

Vol. 2 ◽

10.1515/9783112313985-058 ◽

1987 ◽

pp. 671-682

Keyword(s):

Hilbert Space ◽

Gaussian Approximation ◽

Random Variables

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On asymptotic expansion for the distribution of the sum of independent identically distributed random variables taking values in Hilbert space

Probability Theory and Applications ◽

10.1515/9783112314227-094 ◽

1987 ◽

pp. 693-696

Keyword(s):

Hilbert Space ◽

Asymptotic Expansion ◽

Random Variables ◽

Independent Identically Distributed

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A note on computing the distribution of the norm of Hilbert space valued Gaussian random variables

Journal of Multivariate Analysis ◽

10.1016/0047-259x(80)90078-0 ◽

1980 ◽

Vol 10 (1) ◽

pp. 19-25 ◽

Author(s):

Georg Neuhaus

Keyword(s):

Hilbert Space ◽

Random Variables ◽

Gaussian Random Variables

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Strong Limit Theorems for Mixing Random Variables with Values in Hilbert Space and their Applications

High Dimensional Probability III ◽

10.1007/978-3-0348-8059-6_10 ◽

2003 ◽

pp. 153-174 ◽

Author(s):

Olimjon Sh. Sharipov

Keyword(s):

Hilbert Space ◽

Limit Theorems ◽

Random Variables ◽

Strong Limit ◽

Mixing Random Variables

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An Estimate of the Rate of Convergence in the CLT for Dependent Hilbert Space Valued Random Variables

Proceedings of the Bakuriani Colloquium in Honour of Yu.V. Prohorov, Bakuriani, Georgia, USSR, 24 February–4 March, 1990 ◽

10.1515/9783112313626-013 ◽

1991 ◽

pp. 111-122

Keyword(s):

Hilbert Space ◽

Rate Of Convergence ◽

Random Variables

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Convergence of Numerical Characteristics of Sums of Independent Random Variables with Values in a Hilbert Space

Theory of Probability and Its Applications ◽

10.1137/1118091 ◽

1974 ◽

Vol 18 (4) ◽

pp. 694-712 ◽

Author(s):

V. N. Kruglov

Keyword(s):

Hilbert Space ◽

Random Variables ◽

Independent Random Variables

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On the Accuracy of Normal Approximation of the Probability of Hitting a Ball of Sums of Weakly Dependent Hilbert Space Valued Random Variables I

Theory of Probability and Its Applications ◽

10.1137/1136089 ◽

1992 ◽

Vol 36 (4) ◽

pp. 738-751 ◽

Author(s):

A. N. Tikhomirov

Keyword(s):

Hilbert Space ◽

Normal Approximation ◽

Random Variables ◽

Weakly Dependent

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STRONG LAWS OF LARGE NUMBERS FOR LINEAR PROCESSES GENERATED BY ASSOCIATED RANDOM VARIABLES IN A HILBERT SPACE

Honam Mathematical Journal ◽

10.5831/hmj.2008.30.4.703 ◽

2008 ◽

Vol 30 (4) ◽

pp. 703-711 ◽

Author(s):

Mi-Hwa Ko

Keyword(s):

Hilbert Space ◽

Random Variables ◽

Linear Processes ◽

Laws Of Large Numbers ◽

Associated Random Variables ◽

Strong Laws ◽

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Asymptotically precise estimate of the accuracy of Gaussian approximation in Hilbert space

Journal of Multivariate Analysis ◽

10.1016/0047-259x(89)90112-7 ◽

1989 ◽

Vol 28 (2) ◽

pp. 304-330 ◽

Author(s):

V.V Sazonov ◽

V.V Ulyanov ◽

B.A Zalesskii

Keyword(s):

Hilbert Space ◽

Gaussian Approximation ◽

Precise Estimate

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An accuracy of Gaussian approximation of sum distribution of independent random variables in Banach spaces

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0078459 ◽

1988 ◽

pp. 28-54 ◽

Author(s):

I. S. Borisov

Keyword(s):

Banach Spaces ◽

Gaussian Approximation ◽

Random Variables ◽

Independent Random Variables

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On accuracy of normal approximation for distribution of sum of independent Hilbert space valued random variables

Lecture Notes in Mathematics - Probability Theory and Mathematical Statistics ◽

10.1007/bfb0072941 ◽

1983 ◽

pp. 461-473 ◽

Author(s):

S. V. Nagaev

Keyword(s):

Hilbert Space ◽

Normal Approximation ◽

Random Variables

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